
<PAGE>
 
                                                                    EXHIBIT 25.1

                       SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C.  20549


                                    FORM T-1
                                   _________

                       STATEMENT OF ELIGIBILITY UNDER THE
                        TRUST INDENTURE ACT OF 1939 OF A
                    CORPORATION DESIGNATED TO ACT AS TRUSTEE

                Check if an Application to Determine Eligibility
                 of a Trustee Pursuant to Section 305(b)(2) __


                      STATE STREET BANK AND TRUST COMPANY
              (Exact name of trustee as specified in its charter)

         Massachusetts                                  04-1867445
(Jurisdiction of incorporation or                    (I.R.S. Employer
organization if not a U.S. national bank)            Identification No.)

225 Franklin Street, Boston, Massachusetts                  02110
 (Address of principal executive offices)                 (Zip Code)

       John R. Towers, Esq. Executive Vice President and General Counsel
               225 Franklin Street, Boston, Massachusetts  02110
                                 (617)654-3253
           (Name, address and telephone number of agent for service)

                             _____________________

                            OFFSHORE LOGISTICS, INC.
              (Exact name of obligor as specified in its charter)

          DELAWARE                                     (72-0679819)
(State or other jurisdiction of                      (I.R.S. Employer
incorporation or organization)                      Identification No.)

                                224 RUE DE JEAN
                                  P.O. BOX 5-C
                              LAFAYETTE, LA  70505
              (Address of principal executive offices)  (Zip Code)


                     7 7/8 % SERIES B SENIOR NOTES DUE 2008
                                        
                        (Title of indenture securities)
<PAGE>
 
                                    GENERAL

ITEM 1.  GENERAL INFORMATION.

     FURNISH THE FOLLOWING INFORMATION AS TO THE TRUSTEE:

     (A)  NAME AND ADDRESS OF EACH EXAMINING OR SUPERVISORY AUTHORITY TO WHICH
IT IS SUBJECT.

     Department of Banking and Insurance of The Commonwealth of Massachusetts,
     100 Cambridge Street, Boston, Massachusetts.

     Board of Governors of the Federal Reserve System, Washington, D.C., Federal
     Deposit Insurance Corporation, Washington, D.C.

     (B)  WHETHER IT IS AUTHORIZED TO EXERCISE CORPORATE TRUST POWERS.

     Trustee is authorized to exercise corporate trust powers.

ITEM 2.  AFFILIATIONS WITH OBLIGOR.

     IF THE OBLIGOR IS AN AFFILIATE OF THE TRUSTEE, DESCRIBE EACH SUCH
AFFILIATION.

     The obligor is not an affiliate of the trustee or of its parent, State
Street Corporation.

     (See note on page 2.)

ITEM 3. THROUGH ITEM 15.  NOT APPLICABLE.

ITEM 16.  LIST OF EXHIBITS.

     LIST BELOW ALL EXHIBITS FILED AS PART OF THIS STATEMENT OF ELIGIBILITY.

     1.  A COPY OF THE ARTICLES OF ASSOCIATION OF THE TRUSTEE AS NOW IN EFFECT.

          A copy of the Articles of Association of the trustee, as now in
          effect, is on file with the Securities and Exchange Commission as
          Exhibit 1 to Amendment No. 1 to the Statement of Eligibility and
          Qualification of Trustee (Form T-1) filed with the Registration
          Statement of Morse Shoe, Inc. (File No. 22-17940) and is incorporated
          herein by reference thereto.

     2. A COPY OF THE CERTIFICATE OF AUTHORITY OF THE TRUSTEE TO COMMENCE
     BUSINESS, IF NOT CONTAINED IN THE ARTICLES OF ASSOCIATION.

          A copy of a Statement from the Commissioner of Banks of Massachusetts
          that no certificate of authority for the trustee to commence business
          was necessary or issued is on file with the Securities and Exchange
          Commission as Exhibit 2 to Amendment No. 1 to the Statement of
          Eligibility and Qualification of Trustee (Form T-1) filed with the
          Registration Statement of Morse Shoe, Inc. (File No. 22-17940) and is
          incorporated herein by reference thereto.

     3. A COPY OF THE AUTHORIZATION OF THE TRUSTEE TO EXERCISE CORPORATE TRUST
     POWERS, IF SUCH AUTHORIZATION IS NOT CONTAINED IN THE DOCUMENTS SPECIFIED
     IN PARAGRAPH (1) OR (2), ABOVE.

          A copy of the authorization of the trustee to exercise corporate trust
          powers is on file with the Securities and Exchange Commission as
          Exhibit 3 to Amendment No. 1 to the Statement of Eligibility and
          Qualification of Trustee (Form T-1) filed with the Registration
          Statement of Morse Shoe, Inc. (File No. 22-17940) and is incorporated
          herein by reference thereto.

     4.  A COPY OF THE EXISTING BY-LAWS OF THE TRUSTEE, OR INSTRUMENTS
CORRESPONDING THERETO.

          A copy of the by-laws of the trustee, as now in effect, is on file
          with the Securities and Exchange Commission as Exhibit 4 to the
          Statement of Eligibility and Qualification of Trustee (Form T-1) filed
          with the Registration Statement of Eastern Edison Company (File No.
          33-37823) and is incorporated herein by reference thereto.

                                       1
<PAGE>
 
     5.  A COPY OF EACH INDENTURE REFERRED TO IN ITEM 4. IF THE OBLIGOR IS IN
DEFAULT.

     Not applicable.

     6.  THE CONSENTS OF UNITED STATES INSTITUTIONAL TRUSTEES REQUIRED BY
SECTION 321(B) OF THE ACT.

     The consent of the trustee required by Section 321(b) of the Act is annexed
     hereto as Exhibit 6 and made a part hereof.

     7. A COPY OF THE LATEST REPORT OF CONDITION OF THE TRUSTEE PUBLISHED
PURSUANT TO LAW OR THE REQUIREMENTS OF ITS SUPERVISING OR EXAMINING AUTHORITY.

     A copy of the latest report of condition of the trustee published pursuant
     to law or the requirements of its supervising or examining authority is
     annexed hereto as Exhibit 7 and made a part hereof.


                                     NOTES

     In answering any item of this Statement of Eligibility  which relates to
matters peculiarly within the knowledge of the obligor or any underwriter for
the obligor, the trustee has relied upon information furnished to it by the
obligor and the underwriters, and the trustee disclaims responsibility for the
accuracy or completeness of such information.

     The answer furnished to Item 2. of this statement will be amended, if
necessary, to reflect any facts which differ from those stated and which would
have been required to be stated if known at the date hereof.


                                   SIGNATURE

     Pursuant to the requirements of the Trust Indenture Act of 1939, as
amended, the trustee, State Street Bank and Trust Company, a corporation
organized and existing under the laws of The Commonwealth of Massachusetts, has
duly caused this statement of eligibility to be signed on its behalf by the
undersigned, thereunto duly authorized, all in the City of Boston and The
Commonwealth of Massachusetts, on the  6th day April 1998.

                                   STATE STREET BANK AND TRUST COMPANY
                            
                            
                                   By:  /s/ Susan C. Merker
                                   NAME:  SUSAN C. MERKER
                                   TITLE:  ASSISTANT VICE PRESIDENT

                                       2
<PAGE>
 
                                   EXHIBIT 6

                             CONSENT OF THE TRUSTEE

     Pursuant to the requirements of Section 321(b) of the Trust Indenture Act
of 1939, as amended, in connection with the proposed issuance by {OFFSHORE
LOGISTICS, INC.}. of its {7 7/8 SERIES B SENIOR NOTES DUE 2008},  we hereby
consent that reports of examination by Federal, State, Territorial or District
authorities may be furnished by such authorities to the Securities and Exchange
Commission upon request therefor.

                                    STATE STREET BANK AND TRUST COMPANY
                            
                            
                                    By:  /s/ Susan C. Merker
                                    NAME:  SUSAN C. MERKER
                                    TITLE:  ASSISTANT VICE PRESIDENT

DATED:  APRIL 6, 1998

                                       3
<PAGE>
 
                                   EXHIBIT 7

Consolidated Report of Condition of State Street Bank and Trust Company,
Massachusetts and foreign and domestic subsidiaries, a state banking institution
organized and operating under the banking laws of this commonwealth and a member
of the Federal Reserve System, at the close of business March 31, 1997,
published in accordance with a call made by the Federal Reserve Bank of this
District pursuant to the provisions of the Federal Reserve Act and in accordance
with a call made by the Commissioner of Banks under General Laws, Chapter 172,
Section 22(a).

<TABLE>
<CAPTION>
                                                                               Thousands of
ASSETS                                                                           Dollars
<S>                                                                             <C>
Cash and balances due from depository institutions:
 Noninterest-bearing balances and currency and coin...........................   1,665,142
 Interest-bearing balances....................................................   8,193,292
Securities....................................................................  10,238,113
Federal funds sold and securities purchased under agreements to resell in 
 domestic offices of the bank and its Edge subsidiary.........................   5,853,144
Loans and lease financing receivables:
 Loans and leases, net of unearned income....................   4,936,454
 Allowance for loan and lease losses.........................      70,307
 Allocated transfer risk reserve.............................           0
 Loans and leases, net of unearned income and allowances......................   4,866,147
Assets held in trading accounts...............................................     957,478
Premises and fixed assets.....................................................     380,117
Other real estate owned.......................................................         884
Investments in unconsolidated subsidiaries....................................      25,835
Customers' liability to this bank on acceptances outstanding..................      45,548
Intangible assets.............................................................     158,080
Other assets..................................................................   1,066,957
                                                                                ----------
Total assets..................................................................  33,450,737
                                                                                ==========
LIABILITIES
 
Deposits:
 In domestic offices..........................................................   8,270,845
  Noninterest-bearing........................................   6,318,360
  Interest-bearing...........................................   1,952,485
 In foreign offices and Edge subsidiary.......................................  12,760,086
  Noninterest-bearing........................................      53,052
  Interest-bearing...........................................  12,707,034
Federal funds purchased and securities sold under agreements to repurchase in 
 domestic offices of the bank and of its Edge subsidiary......................   8,216,641
Demand notes issued to the U.S. Treasury and Trading Liabilities..............     926,821
Other borrowed money..........................................................     671,164
Subordinated notes and debentures.............................................           0
Bank's liability on acceptances executed and outstanding......................      46,137
Other liabilities.............................................................     745,529
 
Total liabilities.............................................................  31,637,223
                                                                                ----------
EQUITY CAPITAL
Perpetual preferred stock and related surplus.................................           0
Common stock..................................................................      29,931
Surplus.......................................................................     360,717
Undivided profits and capital reserves/Net unrealized holding gains (losses)..   1,426,881
Cumulative foreign currency translation adjustments...........................      (4,015)
Total equity capital..........................................................   1,813,514
                                                                                ----------
Total liabilities and equity capital..........................................  33,450,737
                                                                                ==========
</TABLE>

                                       4
<PAGE>
 
I, Rex S. Schuette, Senior Vice President and Comptroller of the above named
bank do hereby declare that this Report of Condition has been prepared in
conformance with the instructions issued by the Board of Governors of the
Federal Reserve System and is true to the best of my knowledge and belief.

                                                Rex S. Schuette


We, the undersigned directors, attest to the correctness of this Report of
Condition and declare that it has been examined by us and to the best of our
knowledge and belief has been prepared in conformance with the instructions
issued by the Board of Governors of the Federal Reserve System and is true and
correct.

                                                David A. Spina
                                                Marshall N. Carter
                                                Charles F. Kaye

                                       5
