<SUBMISSION>
<ACCESSION-NUMBER>0001070235-04-000044
<TYPE>6-K
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20040601
<FILING-DATE>20040601
<FILER>
<COMPANY-DATA>
<CONFORMED-NAME>RESEARCH IN MOTION LTD
<CIK>0001070235
<ASSIGNED-SIC>3661
<IRS-NUMBER>000000000
<FISCAL-YEAR-END>0228
</COMPANY-DATA>
<FILING-VALUES>
<FORM-TYPE>6-K
<ACT>34
<FILE-NUMBER>000-29898
<FILM-NUMBER>04839887
</FILING-VALUES>
<BUSINESS-ADDRESS>
<STREET1>295 PHILLIP ST
<STREET2>WATERLOO
<CITY>ONTARIO CANADA
<STATE>A6
<ZIP>00000
<PHONE>5198887465
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>295 PHILLIP STREET
<STREET2>WATERLOO, ONTARIO N2L 3W8
<CITY>ONTARIO
<STATE>A6
<ZIP>N2L 3W8
</MAIL-ADDRESS>
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<DOCUMENT>
<TYPE>6-K
<SEQUENCE>1
<FILENAME>pr6k060104.htm
<DESCRIPTION>PR060104
<TEXT>
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     <!-- Control Number: pr050404                                                         -->
     <!-- Rev Number:     001                                                              -->
     <!-- Client Name:    Research In Motion Limited                                       -->
     <!-- Project Name:   3 Press Releases                                                 -->
     <!-- Firm Name:      Investor Relations                                               -->
     <TITLE>PR050404 - 3 Press Releases</TITLE>
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<BODY>









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<TD><div align="center"><font face="Times New Roman, Times, Serif" size=2><u><b>FORM
  6-K</b></u></font><BR><A NAME=A003></A></div><P ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=2>SECURITIES
AND EXCHANGE COMMISSION </FONT></P>

<P ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Washington, D.C. 20549 </FONT></P>

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<A NAME=A005></A>
<P ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Report of Foreign
Private Issuer </FONT></P>

<P ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Pursuant to Rule 13a-16
or 15d-16 of </FONT></P>

<P ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=2>the Securities Exchange Act
of 1934 </FONT></P>
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</TD>
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<BR>
<p>&nbsp;</p>
<table width="600" border="0">
  <tr>
    <td width="230">For the month of</td>
    <td width="236"><b>June</b>
      <hr>
    </td>
    <td width="112"><b>2004</b>
      <hr>
    </td>
  </tr>
  <tr>
    <td width="230"><font face="Times New Roman, Times, Serif" size=2>Commission
      File Number</font></td>
    <td width="236"><b><font face="Times New Roman, Times, Serif" size=2>000-29898
      </font></b>
      <hr>
      <b><font face="Times New Roman, Times, Serif" size=2> </font></b></td>
    <td width="112">
      &nbsp;<hr>
    </td>
  </tr>
  <tr>
    <td colspan="3">
      <div align="center"> <font face="Times New Roman, Times, Serif" size=3><b>Research
        In Motion Limited</b> </font>
        <hr>
        (Translation of registrant&#146;s name into English)</div>
    </td>
  </tr>
  <tr>
    <td colspan="3">
      <div align="center">295 Phillip Street, <br>
        Waterloo, Ontario, Canada <br>
        N2L 3W8 </div>
    </td>
  </tr>
  <tr>
    <td colspan="3">
      <div align="center"><font face="Times New Roman, Times, Serif" size=2>(Address
        of principal executive offices) </font></div>
    </td>
  </tr>
</table>

<P>&nbsp;</P>

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<TR VALIGN=TOP>
<TD><FONT FACE="Times New Roman, Times, Serif" SIZE=2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Indicate
by check mark whether the registrant files or will file annual reports under cover Form
20-F or Form 40F.  </FONT></TD></TR>
</TABLE>
<div align="center"><BR>
  <table width="427" border="0">
    <tr>
      <td width="200"><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Form 20-F
        ___________</font></td>
      <td width="217"><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Form 40-F_____<u>X</u>_______</font></td>
    </tr>
  </table>
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</div>
<br>
<TABLE WIDTH=600 CELLSPACING=0 CELLPADDING=0 BORDER=0>
<TR VALIGN=TOP>
<TD><FONT FACE="Times New Roman, Times, Serif" SIZE=2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Indicate
by check mark         if the registrant is submitting the Form&nbsp;6-K in paper as
permitted         by Regulation&nbsp;S-T Rule&nbsp;101(b)(1):________________  </FONT></TD></TR>
</TABLE>
<BR>

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<TR VALIGN=TOP>
<TD><FONT FACE="Times New Roman, Times, Serif" SIZE=2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Indicate
by check mark if   the registrant is submitting the Form&nbsp;6-K in paper as permitted
by Regulation&nbsp;S-T   Rule&nbsp;101(b)(7):________________  </FONT></TD></TR>
</TABLE>
<BR>

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<TABLE WIDTH=600 CELLSPACING=0 CELLPADDING=0 BORDER=0>
<TR VALIGN=TOP>
<TD><FONT FACE="Times New Roman, Times, Serif" SIZE=2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Indicate
by check mark whether by furnishing the information contained in this Form, the
registrant is also thereby furnishing the information to the Commission pursuant to Rule
12g3-2(b) under the Securities Exchange Act of 1934.  </FONT></TD></TR>
</TABLE>
<div align="center"><BR>
  <table width="441" border="0">
    <tr>
      <td> <FONT FACE="Times New Roman, Times, Serif" SIZE=2>Yes__________________</font></td>
      <td><FONT FACE="Times New Roman, Times, Serif" SIZE=2>No________<u>X</u>__________</font></td>
    </tr>
  </table>
  <br>
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<TABLE WIDTH=600 CELLSPACING=0 CELLPADDING=0 BORDER=0>
<TR VALIGN=TOP>
<TD><FONT FACE="Times New Roman, Times, Serif" SIZE=2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;If
"Yes" is marked, indicate below the file number assigned to the registrant   in
connection with Rule 12g3-2(b) : 82-_______________  </FONT></TD></TR>
</TABLE>
<BR>

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<TD>
<H1 ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=4>DOCUMENT INDEX </FONT></H1>
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<BR>
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<A NAME=A011></A>
<P ALIGN=LEFT><FONT FACE="Times New Roman, Times, Serif" SIZE=2><I>&nbsp;&nbsp;&nbsp;
  .</I> </FONT></P>

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    <TD ALIGN=RIGHT WIDTH=8%>
      <div align="center">
        <p><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Document</FONT></p>
        <p><FONT FACE="Times New Roman, Times, Serif" SIZE=2>1. </FONT></p><BR><BR>
 </div>
    </TD>

    <TD ALIGN=LEFT WIDTH=81%>
      <p>&nbsp;</p>
      <p><FONT FACE="Times New Roman, Times, Serif" SIZE=2>News Release dated June 1, 2004
 (&#147;Rogers Wireless Inc. Introduces BlackBerry 7780&#153;&quot;)</FONT></p>


    </TD>

    <TD WIDTH=11%>
      <P ALIGN=center><FONT FACE="Times New Roman, Times, Serif" SIZE=2> Page
        No</FONT></P>
      <P ALIGN=center><FONT FACE="Times New Roman, Times, Serif" SIZE=2>3</FONT></P><BR>


    </TD>
                    </TR>
                    </TABLE>
                    <BR>


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<P ALIGN=RIGHT><FONT FACE="Times New Roman, Times, Serif" SIZE=2>Document 1 </FONT></P>


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<A NAME=A001></A>
<P ALIGN=RIGHT><FONT FACE="Times New Roman, Times, Serif" SIZE=3>June 1, 2004 </FONT></P>

<!-- MARKER FORMAT-SHEET="Head Major Left Bold" FSL="Default" -->
<A NAME=A002></A>
<H1 ALIGN=LEFT><FONT FACE="Times New Roman, Times, Serif" SIZE=3>FOR IMMEDIATE RELEASE </FONT></H1>

<!-- MARKER FORMAT-SHEET="Head Major Left Bold" FSL="Default" -->
<A NAME=A003></A>
<H1 ALIGN=LEFT><FONT FACE="Times New Roman, Times, Serif" SIZE=3>ROGERS WIRELESS INC.
INTRODUCES BLACKBERRY 7780&#153; </FONT></H1>

<!-- MARKER FORMAT-SHEET="Head Left" FSL="Default" -->
<A NAME=A004></A>
<P ALIGN=LEFT><FONT FACE="Times New Roman, Times, Serif" SIZE=3><i><b>Latest addition features
larger, vibrant colour screen</b> </i></FONT></P>

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<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3><B>Toronto, ON &#150;</B> Rogers
Wireless and Research In Motion (RIM) (Nasdaq: RIMM; TSX: RIM) today announced the
availability of the BlackBerry 7780 Wireless Handheld&#153; in Canada. The BlackBerry
7780&#153; delivers the popular BlackBerry&reg; experience, now with a larger,
high-resolution colour display, while maintaining superior battery performance. Operating
in Canada on Rogers Wireless&#146; leading integrated wireless voice and data network, the
tri-band 850/1800/1900 MHz GSM/GPRS BlackBerry 7780 enables customers to roam
internationally.* </FONT></P>

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<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>&#147;Keeping up with the needs and
preferences of our loyal BlackBerry customers is a top priority for Rogers Wireless, so
we&#146;re pleased to introduce the latest innovation to our line up with the BlackBerry
7780,&#148; said John Demetris, Vice President, Business Marketing, Rogers Wireless.
&#147;With an enhanced display and superior battery life, coupled with reliable roaming
around the globe, the BlackBerry 7780 offers an excellent wireless experience for people
on the go.&#148; </FONT></P>

<!-- MARKER FORMAT-SHEET="Para Flush" FSL="Default" -->
<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>The BlackBerry 7780 delivers an
exceptional mobile experience thanks to its large, easy-to-read, backlit, 240 x 240
resolution display that supports over 65,000 colours. A backlit QWERTY keyboard designed
for incredibly easy thumb-typing adds further convenience. As always with Rogers Wireless,
the BlackBerry 7780 features e-mail, phone, SMS, browser and organizer applications. The
popular BlackBerry &#145;push&#146; technology enables e-mail messages to be automatically
delivered so customers can stay connected effortlessly. With the always-on BlackBerry
7780, customers can read, compose, forward, or reply to messages at their convenience and
view attachments in common document formats. </FONT></P>

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<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>&#147;BlackBerry continues to grow in
popularity with already more than one million subscribers and we are pleased to work with
Rogers Wireless to introduce another choice of handheld for our customers across
Canada,&#148; said Mark Guibert, Vice President, Corporate Marketing at Research In
Motion. &#147;The new BlackBerry 7780 offers integrated support for both voice and data
applications and features a larger, hi-res colour screen that maximizes content viewing
for e-mail, intranet, and web applications.&#148; </FONT></P>

<!-- MARKER FORMAT-SHEET="Para Flush" FSL="Default" -->
<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>The BlackBerry 7780 costs $499.99
with a two-year service agreement from Rogers Wireless and is available for purchase
across Canada through select Rogers Wireless dealer and retail points of sale, or online
at www.rogers.com. </FONT></P>

<!-- MARKER FORMAT-SHEET="Para Flush" FSL="Default" -->
<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>Rogers Wireless offers the widest
selection of BlackBerry handhelds in North America, including the BlackBerry 7280&#153;,
BlackBerry 6280&#153; and BlackBerry 6710&#153;, which also operate on the Rogers Wireless
GSM/GPRS network, and the BlackBerry 950&#153; which operates on the Rogers Wireless
Mobitex network. </FONT></P>

<!-- MARKER FORMAT-SHEET="Head Major Center Bold 1" FSL="Default" -->
<A NAME=A005></A>
<H1 ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=3>-more- </FONT></H1>

<!-- MARKER FORMAT-SHEET="Head Major Left Bold" FSL="Default" -->
<A NAME=A006></A>
<H1 ALIGN=LEFT><FONT FACE="Times New Roman, Times, Serif" SIZE=3>About Research In Motion
(RIM) </FONT></H1>

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<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>Research In Motion is a leading
designer, manufacturer and marketer of innovative wireless solutions for the worldwide
mobile communications market. Through the development of integrated hardware, software and
services that support multiple wireless network standards, RIM provides platforms and
solutions for seamless access to time-sensitive information including email, phone, SMS
messaging, Internet and intranet-based applications. RIM technology also enables a broad
array of third party developers and manufacturers to enhance their products and services
with wireless connectivity to data. RIM&#146;s portfolio of award-winning products,
services and embedded technologies are used by thousands of organizations around the world
and include the BlackBerry&reg; wireless platform, the RIM Wireless Handheld&#153; product
line, software development tools, radio-modems and software/hardware licensing agreements.
Founded in 1984 and based in Waterloo, Ontario, RIM operates offices in North America,
Europe and Asia Pacific. RIM is listed on the Nasdaq Stock Market (Nasdaq: RIMM) and the
Toronto Stock Exchange (TSX: RIM). For more information, visit www.rim.com or
www.blackberry.com. </FONT></P>

<!-- MARKER FORMAT-SHEET="Head Major Left Bold" FSL="Default" -->
<A NAME=A007></A>
<H1 ALIGN=LEFT><FONT FACE="Times New Roman, Times, Serif" SIZE=3>About Rogers Wireless </FONT></H1>

<!-- MARKER FORMAT-SHEET="Para Flush" FSL="Default" -->
<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>Rogers Wireless Communications Inc.
(TSX: RCM.B; NYSE: RCN) operates Canada&#146;s largest integrated wireless voice and data
network in Canada, providing advanced voice and wireless data solutions to customers from
coast to coast on the Company&#146;s GSM/GPRS network &#150; the world standard for
wireless communications technology. The Company has almost 4.1 million customers and
offices in Canadian cities across the country. Rogers Wireless Communications Inc. is 56%
owned by Rogers Communications Inc., and 34% owned by AT&amp;T Wireless Services, Inc. </FONT></P>

<!-- MARKER FORMAT-SHEET="Center Rule" FSL="Default" -->
     <P ALIGN=CENTER>_________________ </P>

<!-- MARKER FORMAT-SHEET="Para Flush" FSL="Default" -->
<P><FONT FACE="Times New Roman, Times, Serif" SIZE=3>For more information or to request an
interview, please contact: </FONT></P>


Courtney Flaherty<br>
Brodeur Worldwide for RIM<br>
212-771-3637<br>
cflaherty@brodeur.com<br><br>

RIM Investor Relations<br>
519.888.7465<br>
investor_relations@rim.com<br><br>

Suzanne McMeans<br>
Rogers Wireless<br>
416-935-7167<br>
suzanne.mcmeans@rci.rogers.com<br><br>
<FONT FACE="Times New Roman, Times, Serif" SIZE=2>
* Check with Rogers Wireless for roaming services

Forward-looking  statements  in this news  release are made  pursuant to the "safe  harbor"  provisions  of the United  States  Private
Securities  Litigation  Reform Act of 1995. When used herein,  words such as "intend" and similar  expressions are intended to identify
forward-looking  statements.  Forward-looking  statements are based on  assumptions  made by and  information  available to Research In
Motion Limited.  Investors are cautioned that such forward-looking  statements involve risks and uncertainties.  Important factors that
could cause actual results to differ  materially from those expressed or implied by such forward looking  statements  include,  without
limitation,  possible  product defects and product  liability,  risks related to  international  sales and potential  foreign  currency
exchange  fluctuations,  the  initiation  or outcome of  litigation,  acts or potential  acts of  terrorism,  international  conflicts,
significant  fluctuations of quarterly operating results,  changes in Canadian and foreign laws and regulations,  continued  acceptance
of RIM's products,  increased levels of competition,  technological changes and the successful development of new products,  dependence
on third-party  networks to provide  services,  dependence on intellectual  property  rights and other risks and factors  detailed from
time to time in RIM's  periodic  reports  filed with the  United  States  Securities  and  Exchange  Commission,  and other  regulatory
authorities.  The Company has no intention or obligation  to update or revise any  forward-looking  statements,  whether as a result of
new information, future events or otherwise.

The  BlackBerry  and RIM families of related  marks,  images and symbols are the  exclusive  properties  and  trademarks of Research In
Motion Limited.  RIM,  Research In Motion and BlackBerry are registered with the U.S. Patent and Trademark Office and may be pending or
registered in other  countries.  All other brands,  product names,  company  names,  trademarks and service marks are the properties of
their respective owners.</font>








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<TD><H1 ALIGN=CENTER><FONT FACE="Times New Roman, Times, Serif" SIZE=4>SIGNATURES
</FONT></H1>
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<TD><P><FONT FACE="Times New Roman, Times, Serif" SIZE=2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Pursuant
  to the requirements of the Securities Exchange Act of 1934, the registrant has   duly
caused this report to be signed on its behalf by the undersigned, thereunto   duly
authorized. </FONT></P><P>&nbsp;
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<p></P><table width="600" border="0"><tr><td width="33">&nbsp;</td><td width="209">&nbsp;</td><td colspan="2"><div align="center"><b><font face="Times New Roman, Times, Serif" size=3>Research
        In Motion Limited </font></b></div><hr><div align="center">(Registrant) </div></td></tr><tr><td width="33">Date:</td><td width="209"><div align="center"><u>June 1, 2004</u></div></td><td width="59">By:</td><td width="271">/s/ Rob Duncan <hr><div align="center">(Signature)
</div></td></tr><tr><td width="33">&nbsp;</td><td width="209">&nbsp;</td><td width="59">&nbsp;</td><td width="271">Rob Duncan</td></tr><tr><td width="33">&nbsp;</td><td width="209">&nbsp;</td><td width="59">&nbsp;</td><td width="271">Vice President, Corporate Controller</td></tr></table>


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