REGISTRATION RIGHTS AGREEMENT


                  THIS  REGISTRATION  RIGHTS AGREEMENT (the "Agreement") is made
and  entered  into as of June 7,  1996  among  INTELECT  COMMUNICATIONS  SYSTEMS
LIMITED, a company organized under the laws of Bermuda (the "Company"), INFINITY
INVESTORS,  LTD., a corporation  organized under the laws of Nevis,  West Indies
and SECREST CAPITAL  LIMITED,  a corporation  organized under the laws of Nevis,
West Indies (collectively, the "Investor").


                              W I T N E S S E T H:

         WHEREAS,  pursuant to that  certain  Convertible  Securities  Agreement
dated the date hereof (the  "Subscription  Agreement"),  the Investor acquired a
series of  Debentures,  in an amount of  $5,000,000  (collectively  the "Initial
Debentures"),  which are  convertible  into common shares,  par value $0.01 (the
"Common  Shares") of the  Company  (the  shares  into which the  Debentures  are
convertible are herein collectively referred to as the "Shares"); and

         WHEREAS, the Company has agreed to register the Shares; and

         WHEREAS,  as used  herein,  "Registerable  Securities"  shall  mean the
Common Shares issuable by the Company upon conversion of the Initial  Debentures
pursuant to the terms thereof, which have not been previously sold pursuant to a
registration statement or Rule 144 promulgated under the Securities Act of 1933,
as amended (the "Securities Act").

         NOW  THEREFORE,  in  consideration  of the foregoing and other good and
valuable consideration, the parties agree as follows:

         1.       DEMAND REGISTRATION UPON CLOSING.

         (a)      Subject to the terms and  conditions  hereof,  within  fifteen
(15) days after the closing of the transactions contemplated by the Subscription
Agreement (the "Closing  Date"),  the Company  shall,  at the Company's cost and
expense (other than the fees and  disbursements  of counsel for the Investor and
the underwriting discounts and brokerage commissions, if any, payable in respect
of the Registrable  Securities  sold by the Investor)  prepare and file with the
Securities and Exchange  Commission (the "Commission") a registration  statement
on Form  S-3 (if  the  same is  available),  with  respect  to the  Registerable
Securities  requested  to be  registered  by  the  Investor  and  will  use  all
reasonable  efforts to cause such registration  statement to become effective as
promptly as  practicable.  If Form S-3 is not  available to the Company for such
registration statement, the Company shall use all reasonable efforts to promptly
file the registration statement on an appropriate alternative form.



REGISTRATION RIGHTS AGREEMENT - PAGE 1



         (b)      Except as set forth below,  the Company  shall keep  effective
the registration statement contemplated by this Section 1 and shall from time to
time amend or supplement such registration  statement,  for a period of not less
than three  hundred  sixty (360) days,  as extended by any period of time during
which the  registration  statement  is not  effective  pursuant to Section  1(c)
below,  unless all of the Registrable  Securities set forth in such registration
statement have thereto been sold.

         (c)      The Company may terminate or suspend the  effectiveness of any
registration  statement  to be filed  pursuant  to  Section  1(a) one time for a
period of not more than forty five (45) days if the Company shall deliver to the
Investor a  certificate  signed by a Senior Vice  President  or Chief  Executive
Officer of the Company  stating that in the good faith  judgment of the Board of
Directors  of the Company it would (i) be seriously  detrimental  to the Company
for such registration statement to be effected or remain effective at such time,
(ii)  interfere  with any  proposed or pending  material  corporate  transaction
involving  the  Company  or any of  its  subsidiaries  or  (iii)  any  premature
disclosure thereof.

         2.       FUTURE DEMAND REGISTRATION.

         (a)      If,  at any one time  following  thirty  (30)  days  after the
termination of the  effectiveness  of the  registration  statement  prepared and
filed in accordance with Section 1, the Company  receives a written request from
the Investor,  the Company shall,  at the Company's sole cost and expense (other
than the fees and disbursements of counsel for the Investor and the underwriting
discounts  and  commissions,  if any,  payable  in  respect  of the  Registrable
Securities  sold by the  Investor),  prepare  and file  with the  Commission  an
additional  registration  statement sufficient to permit the public offering and
sale of the  number  of  shares  of  Registrable  Securities  set  forth in such
request. The Company shall file such registration  statement on Form S-3 (if the
same is available to the Company for such registration  statement) within thirty
(30) days of the receipt of the  request.  If Form S-3 is not  available  to the
Company for such  registration  statement,  the Company shall use all reasonable
efforts to promptly file the registration  statement on appropriate  alternative
form.  The Company will use all  reasonable  efforts to cause such  registration
statement  to become  effective  as  promptly  as  practicable.  Notwithstanding
anything to the contrary set forth above,  the Company shall not be obligated to
effect any such  registration,  qualification  or  compliance,  pursuant to this
Section 2 (1) if the Investor, together with the holders of any other securities
of the  Company  entitled to  inclusion  in such  registration,  propose to sell
Registrable  Securities and such other securities (if any) at an aggregate price
to the public (net of any  underwriters'  discounts or commissions) of less than
$100,000,  provided,  however,  that such exception shall not apply in the event
the number of  Registrable  Securities  then held by the  Investor  exceeds  the
maximum  number of shares of Common Stock which the Investor could sell pursuant
to the provisions of Rule 144(e)(1) promulgated under the Securities Act; (2) if
the Company shall furnish to the Investor a certificate  signed by a Senior Vice
President or the Chief Executive Officer of the Company stating that in the good
faith  judgment of the Board of Directors of the Company,  it would be seriously
detrimental  to the Company and its  stockholders  for such  registration  to be
effected at such time,  in which event the Company




REGISTRATION RIGHTS AGREEMENT - PAGE 2



shall have the right to defer the  filing of the  registration  statement  for a
period of not more than 30 days after receipt of the request of the Investor; or
(3) in any  particular  jurisdiction  in which the Company  would be required to
qualify to do business or to execute a general  consent to service of process in
effecting such registration, qualification or compliance.

         (b)      The Company shall keep  effective the  registration  statement
contemplated  by this Section 2 and shall from time to time amend or  supplement
such  registration  statement,  for a period of not less than one hundred eighty
(180) days.

         (c)      The Company shall not be obligated to file more than three (3)
registration statements under this Agreement.

         3.       THE COMPANY COVENANTS.

         (a)      The Company's  obligations pursuant to Sections 1 and 2 hereof
shall  continue  for two years after the Closing  Date or until all  Registrable
Securities have been sold, whichever event occurs first.

         (b)      In the event of a  registration  pursuant to the provisions of
Sections  1 and 2, the  Company  shall use all  reasonable  efforts to cause the
Registrable  Securities  so  registered  to be  registered or qualified for sale
under the securities or blue sky laws of such  jurisdictions as the Investor may
reasonably request; provided, however, that the Company shall not be required to
qualify to do business in any state by reason of this  Section  3(b) in which it
is not otherwise required to qualify to do business.

         (c)      The  Company  shall  notify the  Investor  promptly  when such
registration  statement has become  effective or a supplement to any  prospectus
forming a part of such registration statement has been filed.

         (d)      The Company shall advise the Investor, promptly after it shall
receive  notice or obtain  knowledge  of the  issuance  of any stop order by the
Commission suspending the effectiveness of such registration  statement,  or the
initiation or threatening  of any proceeding for that purpose,  and promptly use
all  reasonable  efforts to prevent the  issuance of any stop order or to obtain
its withdrawal if such stop order should be issued.

         (e)      The Company shall  promptly  notify the Investor,  at any time
when a  prospectus  relating  thereto  is  required  to be  delivered  under the
Securities  Act, of the  happening  of any event of which it has  knowledge as a
result of which the prospectus included in such registration  statement, as then
in effect, would include an untrue statement of a material fact or omit to state
any  material  fact  required  to be stated  therein  or  necessary  to make the
statements  therein  not  misleading  in the  light  of the  circumstances  then
existing,  and at the reasonable  request of the Investor prepare and furnish to
them such number of copies of a supplement to or an amendment of such prospectus
as may be necessary so that, as thereafter  delivered to the  purchasers of such



REGISTRATION RIGHTS AGREEMENT - PAGE 3



Registrable  Securities  or  securities,  such  prospectus  shall not include an
untrue statement of a material fact or omit to state a material fact required to
be stated therein or necessary to make the statements  therein not misleading in
the light of the circumstances under which they were made.

         (f)      If requested by the underwriter for any underwritten  offering
of Registrable  Securities on behalf of the Investor  pursuant to a registration
requested  under  Sections 1 and 2, the Company and the Investor will enter into
an underwriting  agreement with such underwriter for such offering,  which shall
be  reasonably  satisfactory  in  substance  and  form  to the  Company  and the
Company's counsel, the Investor,  and the underwriter,  and such agreement shall
contain such  representations and warranties by the Company and the Investor and
such other terms and provisions as are customarily  contained in an underwriting
agreement   with   respect  to   secondary   distributions   solely  by  selling
stockholders,  including,  without limitation,  indemnities substantially to the
effect and to the extent provided in Section 4.

         4.       INDEMNIFICATION.

         (a)      Subject to the conditions set forth below,  the Company agrees
to indemnify and hold harmless the Investor, its officers, directors,  partners,
employees,  agents, and counsel,  and each person, if any, who controls any such
person within the meaning of Section 15 of the  Securities  Act or Section 20(a)
of the Securities  Exchange Act of 1934, as amended (the "Exchange Act) from and
against  any and  all  loss,  liability,  charge,  claim,  damage,  and  expense
whatsoever (which shall include,  for all purposes of this Section 4, but not be
limited  to,  reasonable  attorneys'  fees and any and all  reasonable  expenses
whatsoever  incurred  in  investigating,  preparing,  or  defending  against any
litigation,  commenced or threatened, or any claim whatsoever),  arising out of,
based  upon,  or in  connection  with any untrue  statement  or  alleged  untrue
statement  of a  material  fact  contained  (A) in any  registration  statement,
preliminary  prospectus,  or final  prospectus (as from time to time amended and
supplemented)  or any amendment or supplement  thereto,  relating to the sale of
any of the Registrable Securities or (B) in any application or other document or
communication (in this Section 4 collectively called an "application")  executed
by or on behalf of the Company or based upon written information furnished by or
on behalf of the  Company  filed in any  jurisdiction  in order to  register  or
qualify any of the Registrable  Securities under the securities or blue sky laws
thereof or filed with the Commission or any securities exchange; or any omission
or alleged  omission to state a material fact  required to be stated  therein or
necessary to make the statements  made therein not  misleading,  unless (x) such
statement or omission was made in reliance upon and in  conformity  with written
information  furnished  to the  Company  by or on  behalf  of the  Investor  for
inclusion  in any  registration  statement,  preliminary  prospectus,  or  final
prospectus,  or any amendment or supplement thereto,  or in any application,  as
the case may be, or (y) such loss,  liability,  charge, claim, damage or expense
arises out of the Investor's  failure to comply with the terms and provisions of
this Agreement. The foregoing agreement to indemnify shall be in addition to any
liability the Company may otherwise have,  including  liabilities  arising under
this Agreement.



 
REGISTRATION RIGHTS AGREEMENT - PAGE 4



                  If any action is brought  against  the  Investor or any of its
officers, directors, partners, employees, agents, or counsel, or any controlling
persons of such person (an  "indemnified  party") in respect of which  indemnity
may be sought  against the Company  pursuant to the  foregoing  paragraph,  such
indemnified party or parties shall promptly notify the Company in writing of the
institution  of such action (but the failure so to notify  shall not relieve the
Company from any liability other than pursuant to this Section 4 (a) unless, the
failure to so notify shall prejudice any rights or defenses with respect to such
claim)  and the  Company  shall  promptly  assume the  defense  of such  action,
including the employment of counsel (reasonably satisfactory to such indemnified
party or parties)  provided that the  indemnified  party shall have the right to
employ its or their own counsel in any such case,  but the fees and  expenses of
such  counsel  shall be at the  expense  of such  indemnified  party or  parties
unless:

                           (i) the  employment  of such counsel  shall have been
authorized  in writing by the  Company in  connection  with the  defense of such
action; or

                           (ii) such  indemnified  party or  parties  shall have
reasonably concluded,  based on an opinion of counsel reasonably satisfactory to
the  Company,  that there may be one or more legal  defenses  available to it or
them or to other  indemnified  parties which are different from or additional to
those available to the Company,  in any material  respect,  and that as a result
thereof a conflict of interest would arise absent separate representation of the
parties.

In the event of clauses (i) or (ii) above, such fees and expenses shall be borne
by the Company and the Company shall not have the right to direct the defense of
such  action on behalf of the  indemnified  party or  parties.  Anything in this
Section 4 to the contrary  notwithstanding,  the Company shall not be liable for
any settlement of any such claim or action effected without its written consent,
which shall not be  unreasonably  withheld.  the Company shall not,  without the
prior  written  consent  of  each  indemnified  party  that is not  released  as
described in this sentence, settle or compromise any action, or permit a default
or  consent to the entry of  judgment  in or  otherwise  seek to  terminate  any
pending  or  threatened  action,  in respect  of which  indemnity  may be sought
hereunder  (whether or not any indemnified party is a party thereto) unless such
settlement,  compromise,  consent,  or  termination  includes  an  unconditional
release of each indemnified  party from all liability in respect of such action.
the Company agrees  promptly to notify the Investor of the  commencement  of any
litigation  or  proceedings  against  the  Company  or any of  its  officers  or
directors  in  connection  with the sale of any  Registrable  Securities  or any
preliminary  prospectus,  prospectus,  registration  statement,  or amendment or
supplement thereto,  or any application  relating to any sale of any Registrable
Securities.

         (b)     The Investor agrees to indemnify and hold harmless the Company,
each director of the Company,  each officer of the Company who shall have signed
any registration statement covering Registrable Securities held by the Investor,
each other  person,  if any,  who  controls  the  Company  within the meaning of
Section 15 of the  Securities  Act or Section 20(a) of the Exchange Act, and its
or their respective  counsel, to the same extent as the foregoing indemnity from
the Company to the Investor in Section 4 (a) but only with respect to statements




REGISTRATION RIGHTS AGREEMENT - PAGE 5



or  omissions,  if  any,  made  in  any  registration   statement,   preliminary
prospectus,  or final prospectus (as from time to time amended and supplemented)
or any amendment or supplement thereto, or in any application,  in reliance upon
and in conformity with written information furnished to the Company with respect
to the  Investor  by or on behalf of the  Investor,  for  inclusion  in any such
registration  statement,  preliminary  prospectus,  or final prospectus,  or any
amendment or supplement thereto,  or in any application,  as the case may be. If
any  action  shall be  brought  against  the  Company  or any  other  person  so
indemnified based on any such registration statement, preliminary prospectus, or
final prospectus, or any amendment or supplement thereto, or in any application,
and in respect of which indemnity may be sought against the Investor pursuant to
this  Section  4(b) the  Investor  shall have the rights and duties given to the
Company,  and the Company and each other  person so  indemnified  shall have the
rights and duties given to the indemnified parties, by the provisions of Section
4(a).

         (c)     To  provide  for  just and  equitable  contribution,  if (i) an
indemnified party makes a claim for indemnification  pursuant to Section 4(a) or
4(b) (subject to the  limitations  thereof) but it is found in a final  judicial
determination,  not subject to further appeal, that such indemnification may not
be enforced in such case,  even though this  Agreement  expressly  provides  for
indemnification  in such case, or (ii) any  indemnified  or  indemnifying  party
seeks contribution under the Securities Act, the Exchange Act or otherwise, then
the Company (including for this purpose any contribution made by or on behalf of
any  director  of the  Company,  any  officer of the Company who signed any such
registration statement, any controlling person of the Company as one entity, and
the Investor, included in such registration in the aggregate (including for this
purpose any contribution by or on behalf of an indemnified  party),  as a second
entity,  shall  contribute  to the losses,  liabilities,  claims,  damages,  and
expenses  whatsoever  to  which  any of them  may be  subject,  on the  basis of
relevant equitable  considerations such as the relative fault of the Company and
the  Investor  in  connection  with the facts  which  resulted  in such  losses,
liabilities,  claims,  damages, and expenses. The relative fault, in the case of
an untrue  statement,  alleged untrue statement,  omission,  or alleged omission
shall be determined  by, among other  things,  whether such  statement,  alleged
statement,  omission or alleged omission relates to information  supplied by the
Company or by the Investor, and the parties' relative intent, knowledge,  access
to information,  and  opportunity to correct or prevent such statement,  alleged
statement,  omission,  or alleged  omission.  the Company and the Investor agree
that it would be unjust and  inequitable  if the  respective  obligations of the
Company and the Investor for  contribution  were  determined  by pro rata or per
capita allocation of the aggregate losses,  liabilities,  claims,  damages,  and
expenses (even if the Investor and the other indemnified parties were treated as
one entity for such purpose) or by any other method of allocation  that does not
reflect the  equitable  considerations  referred to in this Section  4(c). In no
case  shall  the  Investor  be  responsible  for a portion  of the  contribution
obligation  imposed on the Investor in excess of its pro rata share based on the
number of shares of Common Stock owned by it and  included in such  registration
as compared  to the total  number of Common  Shares  owned by the  Investor  and
included   in   such   registration.   No   person   guilty   of  a   fraudulent
misrepresentation  (within the meaning of Section 11(f) of the  Securities  Act)
shall be  entitled  to  contribution  from any  person who is not guilty of such
fraudulent misrepresentation.  For purposes of this Section




REGISTRATION RIGHTS AGREEMENT - PAGE 6




4(c) each  person,  if any,  who  controls  the  Investor  within the meaning of
Section 15 of the  Securities  Act or Section 20(a) of the Exchange Act and each
officer,  director,  partner,  employee,  agent,  and counsel of the Investor or
control  person  shall have the same rights to  contribution  as the Investor or
control  person and each person,  if any,  who  controls the Company  within the
meaning of Section 15 of the  Securities  Act or Section  20(a) of the  Exchange
Act,  each  officer of the Company  who shall have signed any such  registration
statement,  each director of the Company,  and its or their  respective  counsel
shall have the same rights to contribution as the Company,  subject to each case
to the  provisions  of this Section  4(c).  Anything in this Section 4(c) to the
contrary notwithstanding, no party shall be liable for contribution with respect
to the settlement of any claim or action effected  without its written  consent.
This Section 4(c) is intended to supersede any right to  contribution  under the
Securities Act, the Exchange Act or otherwise.

         5.       MISCELLANEOUS.

                  (a)      REMEDIES.  In  the event  of a  breach  by any  party
of its obligations  under this Agreement,  the other party, in addition to being
entitled to exercise all rights granted by law,  including  recovery of damages,
will be entitled to specific  performance  of its rights  under this  Agreement.
Such rights shall be in addition to, and not in lieu of, the  Investor's  rights
to receive the Damage Payment as specified in the Subscription Agreement.

                  (b)      AGREEMENTS  AND  WAIVERS.   The  provisions  of  this
Agreement,  including  the  provisions  of this  sentence,  may not be  amended,
modified or supplemented,  unless such amendment,  modification or supplement is
in writing and signed by the parties hereto.

                  (c)      NOTICES.    All  notices  and  other   communications
provided for or permitted  hereunder shall be made in writing by  hand-delivery,
registered first-class mail, telex, or telecopies,  initially to the address set
forth below,  and thereafter at such other address,  notice of which is given in
accordance with the provisions of this Section 5(c).

(i) if to the Company:

                  Intelect Communications Systems Limited
                  Reid House, 31 Church Street
                  Hamilton, Bermuda
                  Attn:  Peter G. Leighton
                  Fax:  441/292-5560

(ii) if to the Investor

                  Infinity Investors, Ltd.
                  27 Wellington Road
                  Cork, Ireland



REGISTRATION RIGHTS AGREEMENT - PAGE 7


                  Attn:  James G. O'Brien
                  Fax: 353 21 501 255

                  Secrest Capital Limited
                  27 Wellington Road
                  Cork, Ireland
                  Attn:  James G. O'Brien
                  Fax: 353 21 501 255

All such  notices  and  communications  shall be deemed to have been duly given:
when delivered by hand, if personally  delivered;  two business days after being
deposited in the mail,  postage  prepaid,  if mailed;  when  answered  back,  if
telexed; and when receipt is acknowledged, if telecopied.

                  (d)      REASONABLE COOPERATION OF THE INVESTOR.  The Investor
shall cooperate in all reasonable  respects with the filing of the  registration
statement  contemplated  hereby.  Without  limiting the foregoing,  the Investor
shall  furnish  to the  Company  (or  any  regulatory  authority)  such  written
information and representations that the Company may reasonably request in order
to facilitate any registration of the Registrable Securities hereunder.

                  (e)      SUCCESSORS  AND  ASSIGNS.   This  Agreement   may  be
assigned  by the  Investor  to  any  purchaser  or  transferee  of  the  Initial
Debentures.

                  (f)      COUNTERPARTS.   This  Agreement  may  be  executed by
facsimile  signature and in any number of counterparts and by the parties hereto
in separate  counterparts,  each of which when so executed shall be deemed to be
an original and all of which taken  together  shall  constitute one and the same
agreement.

                  (g)      HEADINGS.   The  headings  in this  Agreement are for
convenience  of  references  only and shall not limit or  otherwise  affect  the
meaning hereof.

                  (h)      GOVERNING  LAW.   This  Agreement  shall  be governed
by and construed in accordance with the laws of Bermuda without reference to its
conflict of laws provisions.

                  (i)      SEVERABILITY.   In  the event that any one or more of
the provisions  contained herein, or the application  hereof in any circumstance
is  held  invalid,  illegal  or  unenforceable,   the  validity,   legality  and
enforceability  of  any  such  provisions  in  every  other  respect  and of the
remaining provisions contained herein shall not be affected or impaired thereby.

                  (j)      ENTIRE  AGREEMENT.   This  Agreement  is  intended by
the  parties as a final  expression  of their  agreement  and  intended  to be a
complete and exclusive  statement of this  agreement  and under  standing of the
parties hereto in respect of the subject matter contained  herein.  There are no
restrictions,  promises, warranties or undertakings,  other than those set forth



REGISTRATION RIGHTS AGREEMENT - PAGE 8



or referred to herein, concerning the registration rights granted by the Company
pursuant to this Agreement.







                            [Signature page follows]


REGISTRATION RIGHTS AGREEMENT - PAGE 9


         IN WITNESS  WHEREOF,  the  parties  have caused  this  Agreement  to be
executed as of the date first written above.


                                         INTELECT COMMUNICATIONS SYSTEMS LIMITED



                                         By:____________________________________
                                            Peter G. Leighton, President


                                         INFINITY INVESTORS, LTD.



                                         By:____________________________________
                                         Name:__________________________________
                                         Title:_________________________________


                                         SECREST CAPITAL LIMITED


                                         By:____________________________________
                                         Name:__________________________________
                                         Title:_________________________________





REGISTRATION RIGHTS AGREEMENT - PAGE 10