
<PAGE>

                                                                     EXHIBIT 4.9


                          EVERGREEN MEDIA CORPORATION
               STOCK OPTION AGREEMENT FOR NON-EMPLOYEE DIRECTORS

          THIS AGREEMENT, dated [______], 199__, is made by and between
Evergreen Media Corporation, a Delaware corporation hereinafter referred to as
"Company," and [____________], a Director of the Company, hereinafter referred
to as "Optionee":

                                R E C I T A L S:
                                - - - - - - - - 

          WHEREAS, the Company has adopted and the stockholders of the Company
have approved the Evergreen Media Corporation Stock Option Plan for Non-Employee
Directors (the "Plan");

          WHEREAS, the Company wishes to afford the Optionee the opportunity to
purchase shares of its $.01 par value Class A Common Stock ("Common Stock");

          WHEREAS, the Company wishes to carry out the Plan (the terms of which
are hereby incorporated by reference and made a part of this Agreement); and

          WHEREAS, the Company has determined that it is in the best interests
of the Company and its stockholders to grant the option provided herein (the
"Option") to the Optionee pursuant to the Plan on the terms set forth herein in
order to attract and retain persons of exceptional ability to serve as outside
members of the Board and to solidify the common interests of stockholders and
the Company's non-employee directors in enhancing the value of the Company's
capital stock;

          NOW THEREFORE, in consideration of the mutual covenants herein
contained and other good and valuable consideration, receipt of which is hereby
acknowledged, the parties hereto agree as follows:

                                   ARTICLE I

                                  DEFINITIONS
                                  -----------

          Whenever the following terms are used in this Agreement, they shall
have the meaning specified below unless the context clearly indicates to the
contrary.  The masculine pronoun shall include the feminine and neuter, and the
singular the plural, where the context so indicates.

Section 1.1 - Board
- -----------   -----

          "Board" shall mean the Board of Directors of the Company.

Section 1.2 - Code
- -----------   ----

          "Code" shall mean the Internal Revenue Code of 1986, as amended.
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Section 1.3 - Company
- -----------   -------

          "Company" shall mean Evergreen Media Corporation.  In addition,
"Company" shall mean any corporation assuming, or issuing new stock options in
substitution for, Options outstanding under the Plan.

Section 1.4 - Director
- -----------   --------

          "Director" shall mean a member of the Board who is not an employee of
the company or the Parent Corporation or any Subsidiary.

Section 1.5 - Exchange Act
- -----------   ------------

          "Exchange Act" shall mean the Securities Exchange Act of 1934, as
amended.

Section 1.6 - Option
- -----------   ------

          "Option" shall mean an option to purchase Class A Common stock, par
value $.01 per share, of the Company, granted under this Agreement.

Section 1.7 - Parent Corporation
- -----------   ------------------

          "Parent Corporation" shall mean any corporation in an unbroken chain
of corporations ending with the Company if each of the corporations other than
the Company then owns stock possessing fifty percent (50%) or more of the total
combined voting power of all classes of stock in one (1) of the other
corporations in such chain.

Section 1.8 - Plan
- -----------   ----

          "Plan" shall mean the Evergreen Media Corporation Stock Option Plan
for Non-Employee Directors.

Section 1.9 - Rule 16b-3
- -----------   ----------

          "Rule 16b-3" shall mean that certain Rule 16b-3 under the Exchange
Act, as such Rule may be amended in the future.

Section 1.10 - Secretary
- ------------   ---------

          "Secretary" shall mean the Secretary of the Company.

Section 1.11 - Securities Act
- ------------   --------------

          "Securities Act" shall mean the Securities Act of 1933, as amended.

                                       2
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Section 1.12 - Subsidiary
- ------------   ----------

          "Subsidiary" shall mean any corporation in an unbroken chain of
corporations beginning with the Company if each of the corporations other than
the last corporation in the unbroken chain then owns stock possessing fifty
percent (50%) or more of the total combined voting power of all classes of stock
in one (1) of the other corporations in such chain.

Section 1.13 - Termination of Directorship
- ------------   ---------------------------

          "Termination of Directorship" shall mean the time when the Optionee
ceases to be a director of the Company or any Parent Corporation for any reason,
including, but not by way of limitation, a termination by resignation, failure
to be elected, removal, death or retirement.  The Board, in its absolute
discretion, shall determine the effect of all matters and questions relating to
Termination of Directorship.

                                   ARTICLE II

                                GRANT OF OPTION
                                ---------------

Section 2.1 - Grant of Option
- -----------   ---------------

          In consideration of the Optionee's agreement to serve as a Director of
the Company and for other good and valuable consideration, on the date hereof
the Company irrevocably grants to the Optionee the option to purchase any part
or all of an aggregate of 5,000 shares of its Class A Common Stock upon the
terms and conditions set forth in this Agreement.

Section 2.2 - Purchase Price
- -----------   --------------

          The purchase price of the shares of stock covered by the Option shall
be $[__.__] per share without commission or other charge.

Section 2.3 - Consideration to Company
- -----------   ------------------------

          In consideration of the granting of this Option by the Company, the
Optionee agrees to render faithful and efficient services as a Director of the
Company, from the date this Option is granted until the next annual meeting of
stockholders of the Company and until his successor is elected and qualified.
Nothing in this Agreement or in the Plan shall interfere with or restrict in any
way the rights of the stockholders of the Company to remove Optionee as a
director of the Company, which are hereby expressly reserved.

Section 2.4 - Adjustments in Option
- -----------   ---------------------

          In the event that the outstanding shares of the stock subject to the
Option are changed into or exchanged for a different number or kind of shares of
the Company or other securities of the Company by reason of merger,
consolidation, recapitalization, 

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reclassification, stock split up, stock dividend or combination of shares, the
Board shall make an appropriate and equitable adjustment in the number and kind
of shares as to which the Option, or portions thereof then unexercised, shall be
exercisable, to the end that after such event the Optionee's proportionate
interest shall be maintained as before the occurrence of such event.  Such
adjustment in the Option shall be made without change in the total price
applicable to the Option or the unexercised portion of the Option (except for
any change in the aggregate price resulting from rounding-off of share
quantities or prices) and with any necessary corresponding adjustment in the
Option price per share.  Any such adjustment made by the Board shall be final
and binding upon the Optionee, the Company and all other interested persons.

                                  ARTICLE III

                            PERIOD OF EXERCISABILITY
                            ------------------------

Section 3.1 - Commencement of Exercisability
- -----------   ------------------------------

          The Option with respect to one-third of the shares of Common Stock
granted hereunder shall become exercisable on the first anniversary of the date
the Option is granted; the Option with respect to one-third of the shares of
Common Stock granted hereunder shall become exercisable on the second
anniversary of the date the Option is granted; and the Option with respect to
the remaining shares of Common Stock granted hereunder shall become exercisable
on the third anniversary of the date the Option is granted.

Section 3.2 - Duration of Exercisability
- -----------   --------------------------

          The Option, which becomes exercisable pursuant to Section 3.1, shall
remain exercisable until it becomes unexercisable under Section 3.3.

Section 3.3 - Expiration of Option
- -----------   --------------------

          The Option may not be exercised to any extent by anyone after the
first to occur of the following events:

          (a) The expiration of ten (10) years from the date the Option was
granted; or

          (b) The expiration of three (3) months from the date of the Optionee's
Termination of Directorship other than resulting from the death or permanent
disability of the Optionee, his retirement as a Director on or after age 65, or
his ceasing to be eligible to participate in the Plan by reason of his becoming
an employee of the Company or any of its subsidiaries; or

          (c) The expiration of eighteen (18) months from the date of the
Optionee's Termination of Directorship for any reason other than as specified in
Section 3.3(b); or

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          (d) The effective date of either the merger or consolidation of the
Company with or into another corporation, or the acquisition by another
corporation or person of all or substantially all of the Company's assets or
eighty percent (80%) or more of the Company's then outstanding voting stock, or
the liquidation or dissolution of the Company, unless the Board waives this
provision in connection with such transaction.  At least ten (10) days prior to
the effective date of such merger, consolidation, acquisition, liquidation or
dissolution, the Board shall give the Optionee notice of such event if the
Option has then neither been fully exercised nor become unexercisable under this
Section 3.3.

Section 3.4 - Acceleration of Exercisability
- -----------   ------------------------------

          In the event of the merger or consolidation of the Company with or
into another corporation, or the acquisition by another corporation or person of
all or substantially all of the Company's assets or eighty percent (80%) or more
of the Company's then outstanding voting stock, or the liquidation or
dissolution of the Company, the Board may, in its absolute discretion and upon
such terms and conditions as it deems appropriate, provide by resolution,
adopted prior to such event and incorporated in the notice referred to in
Section 3.3(d), that at some time prior to the effective date of such event this
Option shall be exercisable as to all the shares covered hereby, notwithstanding
that this Option may not yet have become fully exercisable under Section 3.1;
provided, however, that this acceleration of exercisability shall not take place
if:

          (a) This Option becomes unexercisable under Section 3.3 prior to said
effective date; or

          (b) In connection with such an event, provision is made for an
assumption of this Option or a substitution therefor of a new option by an
employer corporation or a parent or subsidiary of such corporation.

          The Board may make such determinations and adopt such rules and
conditions as it, in its absolute discretion, deems appropriate in connection
with such acceleration of exercisability, including, but not by way of
limitation, provisions to ensure that any such acceleration and resulting
exercise shall be conditioned upon the consummation of the contemplated
corporate transaction.

                                   ARTICLE IV

                               EXERCISE OF OPTION
                               ------------------

Section 4.1 - Person Eligible to Exercise
- -----------   ---------------------------

          During the lifetime of the Optionee, only he may exercise the Option
or any portion thereof.  After the death of the Optionee, any exercisable
portion of the Option may, prior to the time when the Option becomes
unexercisable under Section 3.3, be exercised by his personal representative or
by any person empowered to do so under the Optionee's will or under the then
applicable laws of descent and distribution.

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Section 4.2 - Partial Exercise
- -----------   ----------------

          Any exercisable portion of the Option or the entire Option, if then
wholly exercisable, may be exercised in whole or in part at any time prior to
the time when the Option or portion thereof becomes unexercisable under Section
3.3; provided, however, that each partial exercise shall be for not less than
two hundred (200) shares and shall be for whole shares only.

Section 4.3 - Manner of Exercise
- -----------   ------------------

          The Option, or any exercisable portion thereof, may be exercised
solely by delivery to the Secretary or his office of all of the following prior
to the time when the Option or such portion becomes unexercisable under Section
3.3:

          (a)  Notice in writing signed by the Optionee or the other person then
entitled to exercise the Option or portion, stating that the Option or portion
is thereby exercised, such notice complying with all applicable rules
established by the Board; and

          (b)  (i)  Full payment (in cash or by check) for the shares with
     respect to which such Option or portion is exercised; or

               (ii)  shares of the Company's Common Stock owned by the Optionee
     duly endorsed for transfer to the Company or, subject to the timing
     requirements of Section 4.4, shares of the Company's Common Stock issuable
     to the Optionee upon exercise of the Option, in each case with a fair
     market value (as determined under Section 4.2(b) of the Plan) on the date
     of Option exercise equal to the aggregate purchase price of the shares with
     respect to which such Option or portion is exercised; or

               (iii)  any combination of the consideration provided in the
     foregoing subparagraphs (i) and (ii); and

          (c)  A bona fide written representation and agreement, in a form
satisfactory to the Board, signed by the Optionee or other person then entitled
to exercise such Option or portion, stating that the shares of stock are being
acquired for his own account, for investment and without any present intention
of distributing or reselling said shares or any of them except as may be
permitted under the Securities Act and then applicable rules and regulations
thereunder, and that the Optionee or other person then entitled to exercise such
Option or portion will indemnify the Company against and hold it free and
harmless from any loss, damage, expense or liability resulting to the Company if
any sale or distribution of the shares by such person is contrary to the
representation and agreement referred to above.  The Board may, in its absolute
discretion, take whatever additional actions it deems appropriate to insure the
observance and performance of such representation and agreement and to effect
compliance with the Securities Act and any other federal or state securities
laws or regulations.  Without limiting the generality of the foregoing, the
Board may require an opinion of counsel acceptable to it to the effect that any
subsequent transfer of shares

                                       6
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acquired on an Option exercise does not violate the Securities Act, and may
issue stop-transfer orders covering such shares.  Share certificates evidencing
stock issued on exercise of this Option shall bear an appropriate legend
referring to the provisions of this subsection (c) and the agreements herein.
The written representation and agreement referred to in the first sentence of
this subsection (c) shall, however, not be required if the shares to be issued
pursuant to such exercise have been registered under the Securities Act, and
such registration is then effective in respect of such shares; and

          (d)  Full payment to the Company (or other employer corporation) of
all amounts which, under federal, state or local tax law, it is required to
withhold upon exercise of the Option; with the consent of the Board, (i) shares
of the Company's Common Stock owned by the Optionee duly endorsed for transfer,
or (ii) subject to the timing requirements of Section 4.4, shares of the
Company's Common Stock issuable to the Optionee upon exercise of the Option,
valued in accordance with Section 4.2(b) of the Plan at the date of Option
exercise, may be used to make all or part of such payment; and

          (e)  In the event the Option or portion shall be exercised pursuant to
Section 4.1 by any person or persons other than the Optionee, appropriate proof
of the right of such person or persons to exercise the Option.

Section 4.4 - Certain Timing Requirements
- -----------   ---------------------------

          Shares of Common Stock issuable to the Optionee upon exercise of the
Option may be used to satisfy the Option price or the tax withholding
consequences of such exercise only (i) during the period beginning on the third
(3rd) business day following the date of release of the quarterly or annual
summary statement of revenues and earnings of the Company and ending on the
twelfth (12th) business day following such date or (ii) pursuant to an
irrevocable written election by the Optionee to use shares of Common Stock
issuable to the Optionee upon exercise of the Option to pay all or part of the
Option price or the withholding taxes (subject to the approval of the Board)
made at least six (6) months prior to the payment of such Option price or
withholding taxes.

Section 4.5 - Conditions to Issuance of Stock Certificates
- -----------   --------------------------------------------

          The shares of stock deliverable upon the exercise of the Option, or
any portion thereof, may be either previously authorized but unissued shares or
issued shares which have then been reacquired by the Company.  Such shares shall
be fully paid and nonassessable.  The Company shall not be required to issue or
deliver any certificate or certificates for shares of stock purchased upon the
exercise of the Option or portion thereof prior to fulfillment of all of the
following conditions:

          (a)  The admission of such shares to listing on all stock exchanges on
which such class of stock is then listed; and

          (b)  The completion of any registration or other qualification of such
shares under any state or federal law or under rulings or regulations of the
Securities and Exchange

                                       7
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Commission or of any other governmental regulatory body, which the Board shall,
in its absolute discretion, deem necessary or advisable; and

          (c)  The obtaining of any approval or other clearance from any state
or federal governmental agency which the Board shall, in its absolute
discretion, determine to be necessary or advisable; and

          (d)  The payment to the Company of all amounts which, under federal,
state or local tax law, it is required to withhold upon exercise of the Option;
and

          (e)  The lapse of such reasonable period of time following the
exercise of the Option as the Board may from time to time establish for reasons
of administrative convenience.

Section 4.6 - Rights as Stockholder
- -----------   ---------------------

          The holder of the Option shall not be, nor have any of the rights or
privileges of, a stockholder of the Company in respect of any shares of stock
purchasable upon the exercise of any part of the Option unless and until
certificates representing such shares shall have been issued by the Company to
such holder.

                                   ARTICLE V

                                OTHER PROVISIONS
                                ----------------

Section 5.1 - Administration
- -----------   --------------

          The Board shall have the power to interpret the Plan and this
Agreement and to adopt such rules for the administration, interpretation and
application of the Plan as are consistent therewith and to interpret or revoke
any such rules.  All actions taken and all interpretations and determinations
made by the Board in good faith shall be final and binding upon the Optionee,
the Company and all other interested persons.  No member of the Board shall be
personally liable for any action, determination or interpretation made in good
faith with respect to the Plan or the Option.

Section 5.2 - Option Not Transferable
- -----------   -----------------------

          Neither the Option nor any interest or right therein or part thereof
shall be liable for the debts, contracts or engagements of the Optionee or his
successors in interest or shall be subject to disposition by transfer,
alienation, anticipation, pledge, encumbrance, assignment or any other means
whether such disposition be voluntary or involuntary or by operation of law by
judgment, levy, attachment, garnishment or any other legal or equitable
proceedings (including bankruptcy), and any attempted disposition thereof shall
be null and void and of no effect; provided, however, that this Section 5.2
shall not prevent transfers by will or by the applicable laws of descent and
distribution.

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<PAGE>
 
Section 5.3 - Shares to Be Reserved
- -----------   ---------------------

          The Company shall at all times during the term of the Option reserve
and keep available such number of shares of stock as will be sufficient to
satisfy the requirements of this Agreement.

Section 5.4 - Notices
- -----------   -------

          Any notice to be given under the terms of this Agreement to the
Company shall be addressed to the Company in care of its Secretary, and any
notice to be given to the Optionee shall be addressed to him at the address
given beneath his signature hereto.  By a notice given pursuant to this Section
5.4, either party may hereafter designate a different address for notices to be
given to him.  Any notice which is required to be given to the Optionee shall,
if the Optionee is then deceased, be given to the Optionee's personal
representative if such representative has previously informed the Company of his
status and address by written notice under this Section 5.4.  Any notice shall
be deemed duly given when enclosed in a properly sealed envelope or wrapper
addressed as aforesaid, deposited (with postage prepaid) in a post office or
branch post office regularly maintained by the United States Postal Service.

Section 5.5 - Titles
- -----------   ------

          Titles are provided herein for convenience only and are not to serve
as a basis for interpretation or construction of this Agreement.

Section 5.6 - [Intentionally Omitted]
- -----------    --------------------- 


Section 5.7 - Construction
- -----------   ------------

          This Agreement shall be administered, interpreted and enforced under
the laws of the State of Delaware.

Section 5.8 - Conformity to Securities Laws
- -----------   -----------------------------

          The Optionee acknowledges that the Plan is intended to conform to the
extent necessary with all provisions of the Securities Act and the Exchange Act
and any and all regulations and rules promulgated by the Securities and Exchange
Commission thereunder, including without limitation Rule 16b-3.  Notwithstanding
anything herein to the contrary, the Plan shall be administered, and the Option
is granted and may be exercised, only in such a manner as to conform to such
laws, rules and regulations.  To the extent permitted by applicable law, the
Plan and this Agreement shall be deemed amended to the extent necessary to
conform to such laws, rules and regulations.

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Section 5.9 - Restrictions on Transfer of Shares
- -----------   ----------------------------------

          Notwithstanding any other provision of this Agreement, no shares of
Common Stock acquired upon exercise of the Option, or any portion thereof, may
be sold, assigned, pledged, encumbered or otherwise transferred until at least
six months and one day have elapsed from the date hereof.



          IN WITNESS WHEREOF, this Agreement has been executed and delivered by
the parties hereto.


                                                 EVERGREEN MEDIA CORPORATION
                                                                                

                                              By:___________________________
                                                   Scott K. Ginsburg
                                                   Chief Executive Officer

                                              By:___________________________
                                                   Matthew E. Devine
                                                   Secretary



____________________________
          Optionee

____________________________

____________________________
          Address

Optionee's Taxpayer
Identification Number:

____________________________

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