CANCELLATION AND WARRANT EXCHANGE AGREEMENT

     THIS CANCELLATION AND WARRANT EXCHANGE  AGREEMENT (the "Agreement") is made
as of this 28th day of February,  2006,  among GSE SYSTEMS,  INC., a corporation
organized  under the laws of the State of Delaware (the  "Company")  and DOLPHIN
DIRECT EQUITY  PARTNERS,  LP. a Delaware limited  partnership (the  "Creditor").

                                    RECITALS

     WHEREAS,  the Company entered into that certain Senior Subordinated Secured
Convertible  Note and Warrant  Purchase  Agreement dated as of May 26, 2005 (the
"Purchase  Agreement") with the Creditor whereby the Company (i) issued and sold
to the Creditor a senior subordinated secured convertible promissory note of the
Company in the aggregate  principal amount of $2,000,000 (the "Note"),  and (ii)
issued to the Creditor a warrant to purchase an  aggregate of 380,952  shares of
common stock, par value $0.01 per share (the "Warrant"); and

     WHEREAS, the Company wishes to repay and cancel the Note in accordance with
the terms and conditions set forth herein;

     WHEREAS, Dolphin Offshore Partners, L.P., an affiliate of the Creditor, has
agreed to invest in the Company's private placement of units consisting of up to
$4,250,000  of 8%  cumulative  convertible  preferred  stock and  warrants  (the
"Private Placement"); and

     WHEREAS,  the Company and the Creditor  have agreed to exchange the Warrant
for an Exchange Warrant, as defined below,

                                   AGREEMENTS

     NOW  THEREFORE,  in  consideration  of the  foregoing  and  other  good and
valuable  consideration,  the  receipt  and  sufficiency  of  which  are  hereby
acknowledged, the Parties agree on the following terms and conditions:

                                   ARTICLE I
                                  DEFINITIONS

     1.1  "Closing"  shall  mean the  closing of the  transactions  contemplated
herein,  and  the  closing  of the  transactions  contemplated  by  the  Private
Placement.

     1.2 "Closing Date" shall mean February 28, 2006.

     1.3 "Common Stock" shall mean the shares of the Company's common stock, par
value $0.01 per share, authorized under the Certificate of Incorporation;

     1.5  "Current  Stock Price" for any day shall mean the last  reported  sale
price, or, in case no such reported sale takes place on such day, the average of
the last reported sale prices for the last three trading days, in either case as
officially  reported by the American  Stock  Exchange as of 4:00 P.M.,  New York
time.


                                   ARTICLE II
               PAYMENT IN FULL SATISFACTION AND DISCHARGE OF NOTE

     2.1 Upon  Closing,  the Company  agrees to pay the Creditor  the  following
consideration  in exchange for the cancellation of the Note, the Warrant and for
the  participation  of Dolphin Offshore  Partners,  L.P. in the above referenced
private  offering of the Company's  Cumulative  Convertible  Preferred Stock and
Warrants ("Cancellation Payment"):

          (a) in cash,  official  bank check or wire transfer an amount equal to
the principal  amount then  outstanding plus any accrued interest under the Note
at  the  date  of  Closing  ("Cancellation  Payment");  and

          (b) a warrant,  in substantially the form attached hereto as Exhibit A
(the "Exchange Warrant"), exercisable to acquire 900,000 shares of the Company's
common stock at a price per share (the "Exercise Price") equal to $ .67 cents.

     2.2 Upon Closing,  the Company agrees to pay to Dolphin Advisors,  L.L.C. a
transaction  fee in the  amount of  $3,000 in  respect  of its  services  to the
Creditor related to this transaction.

                                  ARTICLE III
                      CANCELLATION OF THE NOTE AND RELEASE

     3.1 Subject to the terms and conditions set forth herein,  Creditor  agrees
to deliver to Company at Closing  the Note marked  across its face  "CANCELLED,"
and upon such delivery thereby,  shall forever release and discharge the Company
of any and all of its  obligations  under the Note,  including any obligation to
pay principal and interest.

                                   ARTICLE IV
                     EXCHANGE WARRANT / REGISTRATION RIGHTS

     4.1 Creditor shall exercise the Exchange  Warrant to acquire 900,000 shares
of the  Company's  Common  Stock  promptly  after the Company  certifies  to the
Creditor,  on or after May 30, 2006, that the following conditions have been met
(the "Mandatory Exercise Date"): (i) the Company shall have filed a registration
statement  with respect to the resale of the Common Stock issuable upon exercise
of the Exchange Warrant and such registration statement shall have been declared
effective by the Securities and Exchange Commission, (ii) the Common Stock shall
be listed on the American Stock Exchange and the Company shall not have received
any  communication  from such exchange  regarding the Company's  failure to meet
listing  qualifications  or the  institution of any delisting  proceeding at any
time up to and including  the Mandatory  Exercise  Date, (iii) the Current Stock
Price shall not be less than $1.25 on the  Mandatory  Exercise Date and (iv) the
average of the Current  Stock Prices for each trading day of the 30 calendar day
period up to and including  the  Mandatory  Exercise Date shall not be less than
$1.25.

     4.2 Company agrees to use its best efforts to file a registration statement
with respect to the resale of the Common  Stock  issuable  upon  exercise of the
Exchange Wan-ant with the SEC within 30 days after the original  issuance of the
Convertible Preferred Stock and Warrants as set forth in the Registration Rights
Agreement attached hereto as Exhibit B.

                                    ARTICLE V
                                     CLOSING

     5.1 Closing  Date.  The  Closing of the  transactions  contemplated  hereby
shall be effective as of the delivery of the closing  deliverables  described in
Section  5.2 on  February  28,  2006,  or at such time and place as the  parties
mutually agree.

     5.2 Closing Deliverables. At Closing, (a) the Creditor shall deliver to the
Company the Note marked across its face  "CANCELLED";  and (b) the Company shall
deliver to Creditor the Cancellation Payment and the Warrant.

                                   ARTICLE VI
                                     WAIVERS

     6.1 No action taken pursuant to this Agreement, including any investigation
by or on behalf of any party, will he deemed to constitute a waiver by the party
taking such action, or compliance with any representation, warranty, covenant or
agreement  contained  herein.  The waiver by any party hereto of a breach of any
provision of this Agreement shall not operate or be construed as a waiver of any
subsequent  breach. The waiver by any party hereto at or before the Closing Date
of any  condition to its  obligations  hereunder  which is not  fulfilled  shall
preclude such party from seeking  redress from the other party hereto for breach
of any  representations,  warranty,  covenant  or  agreement  contained  in this
Agreement.

                                  ARTICLE VII
                                 BINDING EFFECT

     7.1 This  Agreement  shall inure to the  benefit of the parties  hereto and
shall be binding upon the parties  hereto and their  respective  successors  and
assigns, heirs and legal representatives.  Except as otherwise set forth herein.
nothing in this  Agreement,  express or  implied,  is  intended to confer on any
person other than the parties hereto or their respective  successors and assigns
any rights,  remedies,  obligations,  or liabilities  under of by reason of this
Agreement.

                                  ARTICLE VIII
                 GOVERNING LAW, JURISDICTION, VENUE, REMEDIES,
                           INDEPENDENT LEGAL COUNSEL

     8.1 This Agreement  shall be interpreted  and construed as to both validity
and  performance and enforced in accordance with and governed by the laws of the
State of New  York,  without  giving  effect  to the  choice  of law  principles
thereof. The parties agree that any action hereunder will be held exclusively in
the courts in the State of New York.  The parties  acknowledge  that remedies at
law, including monetary damages, may be inadequate to remedy a breach of certain
material terms herein,  including the  Creditor's  delivery of the Note, and the
parties agree that equitable remedies may be necessary to enforce such terms and
covenants,  including  specific  performance.  The parties  acknowledge that the
terms of this Agreement  have been  negotiated by the parties hereto and each of
them has had a full opportunity to receive independent  business,  tax and legal
counsel with respect to this Agreement and the transactions contemplated herein.

                                   ARTICLE IX
                 REPRESENTATIONS AND WARRANTIES OF THE COMPANY

The Company represents and warrants to the Creditor, as follows:

     9.1 Existence.  The Company (a) is a Registered Organization under the laws
of the  jurisdiction  stated in the Preamble of this  Agreement,  (b) is in good
standing under the laws of the  jurisdiction  in which it is organized,  (c) has
the  power  to own its  property  and to  carry  on its  business  as now  being
conducted,  and (d) is duly  qualified to do business and is in good standing in
each  jurisdiction in which the character of the properties  owned by it therein
or in which the transaction of its business makes such qualification necessary.

     9.2 Power and  Authority.  The  Company  has full  power and  authority  to
execute and deliver this Agreement and the other financing documents to which it
is a party,  to incur and perform the obligations  under this Agreement,  all of
which have been duly authorized by all proper and necessary  action.  No consent
or approval of owners or any creditors of the Company, and no consent, approval,
filing or registration with or notice to any Governmental  Authority on the part
of the Company, is required as a condition to the execution,  delivery, validity
or enforceability of this Agreement, or any of the other financing documents, or
the performance by the Company of the obligations stated herein.

     9.3 Binding  Agreements.  This Agreement and the other Financing  Documents
executed and delivered by the Company have been properly  executed and delivered
and constitute the valid and legally binding  obligations of the Company and are
fully enforceable against the Company in accordance with their respective terms,
subject to bankruptcy, insolvency, reorganization,  moratorium and other Iaws of
general  application  affecting the rights and remedies of creditors and secured
parties,  and general  principles of equity  regardless of whether  applied in a
proceeding in equity or at law.

     9.4 No Conflicts.  Neither the execution,  delivery and  performance of the
terms of this Agreement or of any of the other  transaction  documents  executed
and  delivered  by  the  Company  nor  the   consummation  of  the  transactions
contemplated  by this Agreement  will conflict with,  violate or be prevented by
(a) the  Company's  organizational  or  governing  documents,  (b) any  existing
mortgage,  indenture,  contract or agreement binding on the Company or affecting
its property,  except for any conflict which could not have a materially adverse
effect on the Company, or (c) any applicable Laws.

     9.5 Compliance.  Neither the Company nor any of its  subsidiaries (a) is in
default  under or in violation  of (and no event has occurred  that has not been
waived that, with notice or lapse of time or both,  would result in a default by
the Company or any  subsidiary  under),  nor has the  Company or any  subsidiary
received  notice  of a  claim  that  it is in  default  under  or  that it is in
violation of, any indenture,  loan or credit agreement or any other agreement or
instrument  to which it is a party  or by which it or any of its  properties  is
bound (whether or not such default or violation has been waived),  other than as
disclosed in the September 30, 2005 Form 10-Q,  (b) is in violation of any order
of any  court,  arbitrator  or  governmental  body,  or (c)  is or has  been  in
violation of any statute,  rule or  regulation  of any  governmental  authority,
including  without  limitation  all  foreign,  federal,  state  and  local  laws
applicable to its business.

     9.6 Disclosure.  The Company's publicly filed financial statements, and the
statements,  reports or certificates furnished by the Company in connection with
this  transaction (a) do not contain any untrue statement of a material fact and
(b) when taken in their  entirety,  do not omit any material  fact  necessary to
make the statements contained therein not misleading.  There is no fact known to
the Company  which the Company has not disclosed to the Credito in writing prior
to the date of this Agreement with respect to the  transactions  contemplated by
the Financing  Documents that materially and adversely  affects or in the future
could, in the reasonable opinion of the Company, materially adversely affect the
condition, financial or otherwise, results of operations, business, or assets of
the Company and its Subsidiaries taken as a whole.

                                   ARTICLE X
                 REPRESENTATIONS AND WARRANTIES OF THE CREDITOR

     10. l Existence.  The Creditor (a) is a Registered  Organization  under the
laws of the  jurisdiction  stated in the Preamble of this  Agreement,  (h) is in
good standing under the laws of the  jurisdiction in which it is organized,  (c)
has the  power to own its  property  and to carry on its  business  as now being
conducted,  and (d) is duly  qualified to do business and is in good standing in
each  jurisdiction in which the character of the properties  owned by it therein
or in which the transaction of its business makes such qualification necessary.

     10.2 Power and  Authority.  The  Creditor  has full power and  authority to
execute and deliver this Agreement and the other financing documents to which it
is a party,  to incur and perform the obligations  under this Agreement,  all of
which have been duly authorized by all proper and necessary  action.  No consent
or  approval  of  owners  or any  creditors  of the  Creditor,  and no  consent,
approval, filing or registration with or notice to any Governmental Authority on
the part of the Creditor, is required as a condition to the execution, delivery,
validity or  enforceability  of this  Agreement,  or any of the other  financing
documents, or the performance by the Creditor of the obligations stated herein.

                                   ARTICLE XI
                                  COUNTERPARTS

     11.1.  This  Agreement may be executed in  counterpart  originals,  each of
which shall  constitute  an executed  original and together  shall  constitute a
fully-executed document.

                                  ARTICLE XII
                                    NOTICES

     12.1  All  notices  and  other  communications  provided  for or  permitted
hereunder  shall be in writing and shall be deemed given (i) when made,  if made
by hand delivery,  (ii) upon confirmation,  if made by telecopier,  or (iii) one
business day after being deposited with a reputable  next-day  courier,  postage
prepaid, to the parties as follows:

        if to the Company:

                GSE Systems, Inc.
                7133 Rutherford Road, Suite 200
                Baltimore, Maryland 21244
                Facsimile: (410) 277-5287
                Attn: John Moran

        with a copy to:

                Kalbian Hagerty LLP
                888 17th Street, NW, Suite 1000
                Washington, D.C. 20006
                Facsimile: (202) 223-6625
                Attn: James R. Hagerty, Esq.

        if to the Creditor:

                Dolphin Direct Equity Partners, L.P.
                c/o Dolphin Asset Management Corp.
                129 East 17th Street
                New York, New York 10003
                Facsimile: (212) 656-1212
                Attn: Carlos P. Salas


     The  Company or the  Creditor  by notice to the other  party may  designate
additional  or  different  addresses  as shall be  furnished  in writing by such
party.  Any notice or  communication  mailed to the Creditor  shall be mailed by
first class mail or other equivalent means at such Creditor's  address and shall
be sufficiently given to such Creditor if so mailed within the time prescribed.