WARRANT

                               GSE SYSTEMS, INC.

                        WARRANT TO PURCHASE COMMON STOCK

NEITHER THE ISSUANCE AND SALE OF THE SECURITIES  REPRESENTED BY THIS WARRANT NOR
THE SECURITIES INTO WHICH THIS WARRANT IS EXERCISABLE HAVE BEEN REGISTERED UNDER
THE SECURITIES ACT OF 1933, AS AMENDED, OR APPLICABLE STATE SECURITIES LAWS. THE
SECURITIES MAY NOT BE OFFERED FOR SALE, SOLD, TRANSFERRED OR ASSIGNED (I) IN THE
ABSENCE OF (A) AN EFFECTIVE  REGISTRATION STATEMENT FOR THE SECURITIES UNDER THE
SECURITIES  ACT OF 1933,  AS AMENDED,  OR (B) AN OPINION OF  COUNSEL,  IN A FORM
REASONABLY  ACCEPTABLE TO GSE SYSTEMS,  INC., THAT  REGISTRATION IS NOT REQUIRED
UNDER SAID ACT OR (II) UNLESS SOLD  PURSUANT TO RULE 144 OR RULE 144A UNDER SAID
ACT.  NOTWITHSTANDING THE FOREGOING, THE SECURITIES MAY BE PLEDGED IN CONNECTION
WITH A BONA FIDE MARGIN ACCOUNT OR OTHER LOAN OR FINANCING  ARRANGEMENT  SECURED
BY THE  SECURITIES.  THE  NUMBER OF  SECURITIES  INTO  WHICH  THIS  SECURITY  IS
EXERCISABLE  MAY BE LESS THAN THE AMOUNTS SET FORTH ON THE FACE HEREOF  PURSUANT
TO SECTION 1(f) OF THIS SECURITY.


Warrant No.:                        1 Number of Shares of Common Stock:  380,952

Date of Issuance:  May 26, 2005 ("Issuance Date")

GSE Systems,  Inc., a Delaware  corporation  (the  "Company"),  hereby certifies
that, for good and valuable consideration,  the receipt and sufficiency of which
are hereby  acknowledged,  Dolphin  Direct Equity  Partners,  LP, the registered
holder hereof or its assigns (the "Holder"),  is entitled,  subject to the terms
set forth below, to purchase from the Company, at the Exercise Price (as defined
below) then in effect,  upon surrender of this Warrant to Purchase  Common Stock
(including any Warrants to Purchase Common Stock issued in exchange, transfer or
replacement  hereof,  the  "Warrant"),  at any time or  times  on or  after  the
Issuance Date,  but not after 11:59 p.m., New York Time, on the Expiration  Date
(as  defined  below),  the number of fully paid and  non-assessable  shares (the
"Warrant Shares") of Common Stock (as defined below) set forth above.  Except as
otherwise  defined  herein,  capitalized  terms in this  Warrant  shall have the
meanings set forth in Section 17. This Warrant is issued  pursuant  that certain
Senior  Subordinated  Secured  Convertible Note and Warrant Purchase  Agreement,
dated May 26, 2005 (the  "Subscription  Date"), by and among the Company and the
Holder (the "Securities Purchase  Agreement").  References herein to the Warrant
or the Note (as defined in the Securities Purchase Agreement),  mean all of such
Warrants or Notes to the extent it, any or all of them are reissued, subdivided,
transferred,  substituted,  combined or otherwise  restructured  in any way, and
references to the Holder include all holders of all outstanding such Warrants.

1. EXERCISE OF WARRANT.

     (a) Mechanics of Exercise. Subject to the terms and conditions hereof, this
Warrant may be exercised by the Holder at any time,  in whole or in part, by (i)
delivery  of a written  notice,  in the form  attached  hereto as Exhibit A (the
"Exercise  Notice"),  of the Holder's election to exercise this Warrant and (ii)
(A) payment to the Company of an amount equal to the  applicable  Exercise Price
multiplied  by the  number of Warrant  Shares as to which this  Warrant is being
exercised  (the  "Aggregate  Exercise  Price")  in  cash  or  wire  transfer  of
immediately  available  funds to an account  designated by the Company or (B) if
eligible to do so pursuant to the terms  hereof,  by notifying  the Company that
this Warrant is being exercised  pursuant to a Cashless  Exercise (as defined in
Section 1(d)).  The Holder shall not be required to deliver the original Warrant
in order to effect an exercise hereunder. Execution and delivery of the Exercise
Notice with respect to less than all of the Warrant Shares shall  have the  same
effect as  cancellation of the  original  Warrant and  issuance of a new Warrant
evidencing the right to purchase the remaining  number of Warrant Shares.  On or
before  the first  Business  Day  following  the date on which the  Company  has
received each of the Exercise Notice and the Aggregate Exercise Price (or notice
of a Cashless Exercise) (the "Exercise Delivery  Documents"),  the Company shall
transmit  by  facsimile  an  acknowledgment  of  confirmation  of receipt of the
Exercise Delivery  Documents to the Holder and the Company's transfer agent (the
"Transfer  Agent").  On or before the third  Business Day  following the date on
which the Company has  received  all of the  Exercise  Delivery  Documents  (the
"Share  Delivery  Date"),  the  Company  shall issue and  dispatch by  overnight
courier to the address as  specified  in the  Exercise  Notice,  a  certificate,
registered  in the  Company's  share  register  in the name of the Holder or its
designee  and bearing a legend  restricting  transfer  without  compliance  with
applicable  securities  laws , for the number of shares of Common Stock to which
the Holder is entitled pursuant to such exercise.  Upon delivery of the Exercise
Notice and  Aggregate  Exercise  Price  referred to in clause  (ii)(A)  above or
notification to the Company of a Cashless  Exercise referred to in Section 1(d),
the Holder shall be deemed for all corporate  purposes to have become the holder
of record of the  Warrant  Shares  with  respect to which this  Warrant has been
exercised,  irrespective of the date of delivery of the certificates  evidencing
such  Warrant  Shares.  If this  Warrant is  submitted  in  connection  with any
exercise  pursuant  to this  Section  1(a)  and the  number  of  Warrant  Shares
represented by this Warrant submitted for exercise is greater than the number of
Warrant Shares being  acquired upon an exercise,  then the Company shall as soon
as practicable and in no event later than three Business Days after any exercise
and at its own expense,  issue a new Warrant (in  accordance  with Section 7(d))
representing  the right to  purchase  the number of Warrant  Shares  purchasable
immediately  prior to such  exercise  under  this  Warrant,  less the  number of
Warrant  Shares with respect to which this Warrant is  exercised.  No fractional
shares of Common Stock are to be issued upon the exercise of this  Warrant,  but
rather the number of shares of Common  Stock to be issued shall be rounded up to
the nearest whole  number.  The Company shall pay any and all taxes which may be
payable  with  respect to the  issuance  and  delivery  of Warrant  Shares  upon
exercise of this  Warrant;  provided,  however,  that the  Company  shall not be
required to pay any tax which may be payable in respect of any transfer involved
in the issue or delivery of shares of Common  Stock in a name other than that of
the Holder and no such issue or delivery to a Person other than the Holder shall
be made unless and until the Person  requesting such issue and delivery has paid
to  the  Company  the  amount  of  any  such  tax  or  has  established,  to the
satisfaction of the Company, that such tax has been paid.

     (b) Exercise Price. For purposes of this Warrant, "Exercise Price" means US
$2.22, subject to adjustment as provided herein.


     (c) Company's  Failure to Timely Deliver  Securities.  If the Company shall
fail for any  reason or for no reason to issue to the  Holder  within  three (3)
Business Days of receipt of the Exercise Delivery  Documents,  a certificate for
the  number  of  shares of Common  Stock to which  the  Holder is  entitled  and
register  such  shares of Common  Stock on the  Company's  share  register or to
credit the Holder's balance account with DTC for such number of shares of Common
Stock to which  the  Holder  is  entitled  upon the  Holder's  exercise  of this
Warrant,  then, in addition to all other remedies  available to the Holder,  the
Company  shall pay in cash to the Holder on each day after  such third  Business
Day that the issuance of such shares of Common  Stock is not timely  effected an
amount  equal to 1.0% of the  product  of (A) the sum of the number of shares of
Common  Stock not issued to the Holder on a timely basis and to which the Holder
is entitled  and (B) the Closing Sale Price of the shares of Common Stock on the
Trading Day immediately preceding the last possible date which the Company could
have issued such shares of Common Stock to the Holder without  violating Section
1(a). In addition to the  foregoing,  if within three (3) Trading Days after the
Company's  receipt of the facsimile copy of a Exercise  Notice the Company shall
fail to issue and deliver a  certificate  to the Holder and register such shares
of Common Stock on the Company's  share register or credit the Holder's  balance
account with DTC for the number of shares of Common Stock to which the Holder is
entitled upon such holder's exercise hereunder,  and if on or after such Trading
Day the Holder purchases (in an open market  transaction or otherwise) shares of
Common  Stock to  deliver in  satisfaction  of a sale by the Holder of shares of
Common Stock issuable upon such exercise that the Holder  anticipated  receiving
from the Company (a "Buy-In"),  then the Company  shall,  within three  Business
Days after the Holder's request and in the Holder's  discretion,  either (i) pay
cash to the  Holder in an amount  equal to the  Holder's  total  purchase  price
(including  brokerage  commissions,  if any) for the  shares of Common  Stock so
purchased  (the "Buy-In  Price"),  at which point the  Company's  obligation  to
deliver  such  certificate  (and to issue  such  shares of Common  Stock)  shall
terminate,  or (ii)  promptly  honor its  obligation  to deliver to the Holder a
certificate  or  certificates  representing  such shares of Common Stock and pay
cash to the Holder in an amount equal to the excess (if any) of the Buy-In Price
over the product of (A) such number of shares of Common Stock, multiplied by (B)
the Closing Bid Price on the date of exercise.

     (d) Cashless  Exercise.  Notwithstanding  anything  contained herein to the
contrary,  if a Registration  Statement (as defined in the  Securities  Purchase
Agreement)  covering  the Warrant  Shares  that are the subject of the  Exercise
Notice (the  "Unavailable  Warrant  Shares") is not  available for the resale of
such  Unavailable  Warrant  Shares,  the  Holder  may,  in its sole  discretion,
exercise  this  Warrant  in whole or in part  and,  in lieu of  making  the cash
payment  otherwise  contemplated to be made to the Company upon such exercise in
payment of the  Aggregate  Exercise  Price,  elect  instead to receive upon such
exercise the "Net Number" of shares of Common Stock determined  according to the
following formula (a "Cashless Exercise"):

Net Number =  (A x B) - (A x C)
              -----------------
                      B

For purposes of the foregoing formula:

A    = the total  number of shares  with  respect to which this  Warrant is then
     being exercised.

B    = the  Closing  Sale Price of the shares of Common  Stock (as  reported  by
     Bloomberg)  on the date  immediately  preceding  the  date of the  Exercise
     Notice.

C    = the Exercise  Price then in effect for the  applicable  Warrant Shares at
     the time of such exercise.

     (e)  Disputes.  In the case of a  dispute  as to the  determination  of the
Exercise Price or the arithmetic  calculation of the Warrant Shares, the Company
shall  promptly  issue to the Holder the number of Warrant  Shares  that are not
disputed and resolve such dispute in accordance with Section 12.

2. ADJUSTMENT OF EXERCISE PRICE AND NUMBER OF WARRANT SHARES. The Exercise Price
and the number of Warrant Shares shall be adjusted from time to time as follows:

     (a) Adjustment  upon Issuance of Shares of Common Stock. If and whenever on
or after the Subscription Date (as defined in the Securities Purchase Agreement)
the Company issues or sells,  or in accordance  with this Section 2 is deemed to
have issued or sold, except such issuances or sales or deemed issuances or sales
to Dolphin Direct Equity Partners, LP, any shares of Common Stock (including the
issuance  or sale of shares of Common  Stock owned or held by or for the account
of the Company, but excluding shares of Common Stock issued or sold or deemed to
have been issued by the Company in connection with any Excluded  Securities) for
a  consideration  per share (the "New  Securities  Issuance  Price") less than a
price (the "Applicable Price") equal to the Exercise Price in effect immediately
prior  to such  issue  or sale or  deemed  issuance  or sale  (the  foregoing  a
"Dilutive  Issuance"),  then  immediately  after  such  Dilutive  Issuance,  the
Exercise  Price then in effect  shall be  reduced to an amount  equal to the New
Securities  Issuance Price.  For purposes of determining  the adjusted  Exercise
Price under this Section 2(a), the following shall be applicable:

          (i)  Issuance  of  Options.  If the  Company in any manner  grants any
     Options and the lowest  price per share for which one share of Common Stock
     is  issuable  upon the  exercise  of any such  Option  or upon  conversion,
     exercise or exchange of any Convertible  Securities  issuable upon exercise
     of any such Option is less than the  Applicable  Price,  then such share of
     Common Stock shall be deemed to be outstanding  and to have been issued and
     sold by the Company at the time of the  granting or sale of such Option for
     such price per share.  For  purposes of this Section  2(a)(i),  the "lowest
     price per share for  which  one  share of  Common  Stock is  issuable  upon
     exercise of such Options or upon  conversion,  exercise or exchange of such
     Convertible  Securities" shall be equal to the sum of the lowest amounts of
     consideration  (if any)  received or receivable by the Company with respect
     to any one share Common Stock upon the granting or sale of the Option, upon
     exercise  of the Option and upon  conversion,  exercise or exchange of a ny
     Convertible  Security  issuable  upon  exercise of such Option.  No further
     adjustment of the Exercise  Price or number of Warrant Shares shall be made
     upon  the  actual  issuance  of such  shares  of  Common  Stock  or of such
     Convertible Securities upon the exercise of such Options or upon the actual
     issuance  of such  shares of Common  Stock  upon  conversion,  exercise  or
     exchange of such Convertible Securities.

          (ii) Issuance of Convertible Securities.  If the Company in any manner
     issues or sells any  Convertible  Securities and the lowest price per share
     for  which  one  share of Common  Stock is  issuable  upon the  conversion,
     exercise or exchange thereof is less than the Applicable  Price,  then such
     share of Common  Stock shall be deemed to be  outstanding  and to have been
     issued and sold by the Company at the time of the  issuance or sale of such
     Convertible  Securities for such price per share.  For the purposes of this
     Section 2(a)(ii), the "lowest price per share for which one share of Common
     Stock is issuable upon the conversion, exercise or exchange" shall be equal
     to the sum of the lowest  amounts of  consideration  (if any)  received  or
     receivable  by the Company  with  respect to one share of Common Stock upon
     the  issuance  or sale of the  Convertible  Security  and upon  conversion,
     exercise or exchange of such Convertible Security. No further adjustment of
     the  Exercise  Price or number of  Warrant  Shares  shall be made up on the
     actual issuance of such shares of Common Stock upon conversion, exercise or
     exchange of such Convertible  Securities,  and if any such issue or sale of
     such Convertible  Securities is made upon exercise of any Options for which
     adjustment  of this  Warrant  has been or is to be made  pursuant  to other
     provisions  of this Section  2(a),  no further  adjustment  of the Exercise
     Price or number of Warrant  Shares shall be made by reason of such issue or
     sale.

          (iii)  Change in Option Price or Rate of  Conversion.  If the purchase
     price provided for in any Options,  the additional  consideration,  if any,
     payable upon the issue, conversion, exercise or exchange of any Convertible
     Securities, or the rate at which any Convertible Securities are convertible
     into or exercisable or exchangeable for shares of Common Stock increases or
     decreases at any time,  the Exercise Price and the number of Warrant Shares
     in effect at the time of such increase or decrease shall be adjusted to the
     Exercise  Price and the number of Warrant  Shares  which would have been in
     effect at such time had such Options or Convertible Securities provided for
     such increased or decreased  purchase price,  additional  consideration  or
     increased or  decreased  conversion  rate,  as the case may be, at the time
     initially granted,  issued or sold. For purposes of this Section 2(a)(iii),
     if the terms of any Option or Convertible  Security that was outstanding as
     of the date of issuance of this  Warrant are increase d or decreased in the
     manner described in the immediately preceding sentence, then such Option or
     Convertible  Security and the shares of Common Stock deemed  issuable  upon
     exercise,  conversion  or  exchange  thereof  shall be  deemed to have been
     issued as of the date of such increase or decrease.  No adjustment pursuant
     to this  Section 2(a) shall be made if such  adjustment  would result in an
     increase of the  Exercise  Price then in effect or a decrease in the number
     of Warrant Shares.

          (iv)  Calculation  of  Consideration  Received.  In case any Option is
     issued  in  connection  with the issue or sale of other  securities  of the
     Company,  together  comprising  one  integrated  transaction  in  which  no
     specific consideration is allocated to such Options by the parties thereto,
     the  Options  will be deemed to have been  issued  for a  consideration  of
     $0.01. If any shares of Common Stock, Options or Convertible Securities are
     issued  or sold or  deemed  to have  been  issued  or sold  for  cash,  the
     consideration  received  therefor  will  be  deemed  to be the  net  amount
     received by the Company therefor. If any shares of Common Stock, Options or
     Convertible  Securities are issued or sold for a  consideration  other than
     cash, the amount of such consideration  received by the Company will be the
     fair value of such consideration,  except where such consideration consists
     of securities,  in which case the amount of  consideration  received by the
     Company  will be the  Closing  Sale Price of such  security  on the date of
     receipt. If any shares of Common Stock,  Options or Convertible  Securities
     are issued to the owners of the non-surviving entity in connection with any
     merger  in which  the  Company  is the  surviving  entity,  the  amount  of
     consideration  therefor will be deemed to be the fair value of such portion
     of  the  net  assets  and  business  of  the  non-surviving  entity  as  is
     attributable  to such  shares  of  Common  Stock,  Options  or  Convertible
     Securities,  as the case may be. The fair value of any consideration  other
     than cash or securities  will be determined  jointly by the Company and the
     Holder.  If such parties are unable to reach agreement within ten (10) days
     after  the  occurrence  of an event  requiring  valuation  (the  "Valuation
     Event"),  the fair value of such  consideration  will be determined  within
     five (5) Business Days after the tenth day following the Valuation Event by
     an independent, reputable appraiser jointly selected by the Company and the
     Holder. The determination of such appraiser shall be final and binding upon
     all  parties  absent  manifest  error  and the  fees and  expenses  of such
     appraiser shall be borne by the Company.

          (v)  Record  Date.  If the  Company  takes a record of the  holders of
     shares of Common Stock for the purpose of  entitling  them (A) to receive a
     dividend or other distribution  payable in shares of Common Stock,  Options
     or in Convertible  Securities or (B) to subscribe for or purchase shares of
     Common Stock, Options or Convertible Securities, then such record date will
     be deemed to be the date of the issue or sale of the shares of Common Stock
     deemed to have been issued or sold upon the declaration of such dividend or
     the making of such other  distribution  or the date of the granting of such
     right of subscription or purchase, as the case may be.

     (b) Adjustment  upon  Subdivision or Combination of shares of Common Stock.
If the Company at any time on or after the Subscription  Date subdivides (by any
stock split, stock dividend,  recapitalization or otherwise) one or more classes
of its outstanding  shares of Common Stock into a greater number of shares,  the
Exercise  Price  in  effect  immediately  prior  to  such  subdivision  will  be
proportionately reduced and the number of Warrant Shares will be proportionately
increased. If the Company at any time on or after the Subscription Date combines
(by  combination,  reverse stock split or otherwise)  one or more classes of its
outstanding shares of Common Stock into a smaller number of shares, the Exercise
Price in effect  immediately  prior to such combination will be  proportionately
increased and the number of Warrant  Shares will be  proportionately  decreased.
Any  adjustment  under this Section 2(b) shall become  effective at the close of
business on the date the subdivision or combination becomes effective.

     (c) Other  Events.  If any event  occurs  of the type  contemplated  by the
provisions of this Section 2 but not expressly  provided for by such  provisions
(including,  without  limitation,  the  granting of stock  appreciation  rights,
phantom stock rights or other rights with equity  features,  other than pursuant
to an Approved Stock Plan),  then the Company's  Board of Directors will make an
appropriate adjustment in the Exercise Price and the number of Warrant Shares so
as to  protect  the  rights  of the  Holder;  provided  that no such  adjustment
pursuant to this Section 2(c) will  increase the Exercise  Price or decrease the
number of Warrant Shares as otherwise determined pursuant to this Section 2.

3.   RIGHTS UPON  DISTRIBUTION  OF ASSETS.  If the Company shall declare or make
any  dividend  or other  distribution  of its assets  (or rights to acquire  its
assets)  to holders  of shares of Common  Stock,  by way of return of capital or
otherwise  (including,  without  limitation,  any distribution of cash, stock or
other  securities,  property  or  options  by  way  of  a  dividend,  spin  off,
reclassification,  corporate  rearrangement,  scheme  of  arrangement  or  other
similar transaction) (a "Distribution"),  at any time after the issuance of this
Warrant, then, in each such case:

     (a) any Exercise Price in effect immediately prior to the close of business
on the record  date fixed for the  determination  of holders of shares of Common
Stock entitled to receive the Distribution shall be reduced, effective as of the
close of business on such record date, to a price determined by multiplying such
Exercise Price by a fraction of which (i) the numerator shall be the Closing Bid
Price of the shares of Common  Stock on the  Trading Day  immediately  preceding
such  record date minus the value of the  Distribution  (as  determined  in good
faith by the Company's Board of Directors)  applicable to one share of shares of
Common  Stock,  and (ii) the  denominator  shall be the Closing Bid Price of the
shares of Common  Stock on the Trading  Day  immediately  preceding  such record
date; and

     (b) the number of Warrant  Shares  shall be increased to a number of shares
equal to the number of shares of Common Stock  obtainable  immediately  prior to
the close of business on the record date fixed for the  determination of holders
of  shares  of  Class A  Common  Stock  entitled  to  receive  the  Distribution
multiplied  by the  reciprocal  of the  fraction  set  forth in the  immediately
preceding  paragraph (a); provided that in the event that the Distribution is of
shares of Common Stock or common  stock  ("Other  Shares of Common  Stock") of a
company  whose common shares are traded on a national  securities  exchange or a
national  automated  quotation  system,  then the  Holder may elect to receive a
warrant to purchase  Other  Shares of Common Stock in lieu of an increase in the
number of Warrant Shares, the terms of which shall be identical to those of this
Warrant, except that such warrant shall be exercisable into the number of shares
of Other  Shares of Common  Stock  that  would  have been  payable to the Holder
pursuant to t he Distribution had the Holder exercised this Warrant  immediately
prior to such  record  date and with an  aggregate  exercise  price equal to the
product of the amount by which the exercise  price of this Warrant was decreased
with  respect  to the  Distribution  pursuant  to the  terms of the  immediately
preceding  paragraph (a) and the number of Warrant Shares in effect  immediately
prior to the close of business on the record date fixed for the determination of
holders of shares of Common Stock entitled to receive the Distribution.

4. PURCHASE RIGHTS; FUNDAMENTAL TRANSACTIONS.

     (a) Purchase Rights.  In addition to any adjustments  pursuant to Section 2
above,  if at any  time  the  Company  grants,  issues  or  sells  any  Options,
Convertible  Securities  or rights to purchase  stock,  warrants,  securities or
other  property pro rata to the record  holders of any class of shares of Common
Stock (the "Purchase Rights"), then the Holder will be entitled to acquire, upon
the terms  applicable to such Purchase  Rights,  the aggregate  Purchase  Rights
which the Holder could have acquired if the Holder had held the number of shares
of Common Stock  acquirable upon complete  exercise of this Warrant  immediately
before  the date on which a record is taken for the grant,  issuance  or sale of
such Purchase  Rights,  or, if no such record is taken, the date as of which the
record  holders of shares of Common  Stock are to be  determined  for the grant,
issue or sale of such Purchase Rights.

     (b) Fundamental Transactions.  The Company shall not enter into or be party
to a Fundamental  Transaction unless (i) the Successor Entity assumes in writing
all of the  obligations of the Company under this Warrant in accordance with the
provisions  of this  Section  (4)(b) and each  other  Transaction  Document  (as
defined in the Securities  Purchase Agreement) pursuant to written agreements in
form and substance reasonably satisfactory to the Holder and approved as such by
the Holder  prior to such  Fundamental  Transaction  (at each time that there is
more than one  Holder,  such  satisfaction  or  approval to be by the holders of
Warrants  representing  the right to  purchase  at such time a  majority  of all
Warrant Shares then purchasable pursuant to all outstanding Warrants),  and (ii)
the  Successor  Entity is a publicly  traded  corporation  whose common stock is
quoted on or listed for trading on an Eligible  Market.  Upon the  occurrence of
any  Fundamental  Transaction,  the  Successor  Entity shall  succeed to, and be
substituted  for  (so  that  from  and  after  the  date   of  such  Fundamental
Transaction,  the  provisions of this Warrant  referring to the "Company"  shall
refer instead to the Successor  Entity),  and may exercise every right and power
of the Company and shall assume all of the obligations of the Company under this
Warrant with the same effect as if such  Successor  Entity had been named as the
Company herein. Upon consummation of the Fundamental Transaction,  the Successor
Entity shall deliver to the Holder  confirmation that there shall be issued upon
exercise of this Warrant at any time after the  consummation  of the Fundamental
Transaction,  in lieu of the  shares of the Common  Stock (or other  securities,
cash,  assets or other  property)  purchasable  upon the exercise of the Warrant
prior to such Fundamental Transaction,  such shares of stock, securities,  cash,
assets or any other property whatsoever (including warrants or other purchase or
subscription  rights)  which the Holder would have been entitled to receive upon
the happening of such  Fundamental  Transaction  had this Warrant been exercised
immediately  prior to such  Fundamental  Transaction,  as adjusted in accordance
with the provisions of this Warrant.  The provisions of this Section shall apply
similarly  and equally to  successive  Fundamental  Transactions  and  Corporate
Events and shall be applied without regard to any limitations on the exercise of
this Warrant.

5. NONCIRCUMVENTION.

     (a) The Company  hereby  covenants and agrees that the Company will not, by
amendment  of  its  Certificate  of   Incorporation,   By-laws  or  through  any
reorganization,   transfer   of  assets,   consolidation,   merger,   scheme  of
arrangement,  dissolution,  issue or sale of securities,  or any other voluntary
action, avoid or seek to avoid the observance or performance of any of the terms
of  this  Warrant,  and  will  at all  times  in good  faith  carry  out all the
provisions of this Warrant and take all action as may be required to protect the
rights of the Holder.  Without  limiting the  generality of the  foregoing,  the
Company  (i) shall not  increase  the par  value of any  shares of Common  Stock
receivable  upon the exercise of this Warrant  above the Exercise  Price then in
effect,  and (ii) shall take all such actions as may be necessary or appropriate
in  order  that the  Company  may  validly  and  legally  issue  fully  paid and
nonassessable  shares of Common  Stock upon the  exercise of this  Warrant.  The
Company shall, so long as any of the Warrants are  outstanding,  take all action
necessary  to reserve and keep  available  out of its  authorized  and  unissued
shares of Common Stock,  solely for the purpose of effecting the exercise of the
Warrant, 130% of the number of shares of Common Stock as shall from time to time
be necessary to effect the exercise of the Warrant then outstanding.

6. WARRANT  HOLDER NOT DEEMED A  STOCKHOLDER.  Except as otherwise  specifically
provided  herein,  the Holder,  solely in such Person's  capacity as a holder of
this  Warrant,  shall not be entitled to vote or receive  dividends or be deemed
the holder of share capital of the Company for any purpose,  nor shall  anything
contained in this Warrant be construed to confer upon the Holder, solely in such
Person's  capacity  as the  Holder  of  this  Warrant,  any of the  rights  of a
shareholder of the Company or any right to vote, give or withhold consent to any
corporate action (whether any reorganization,  issue of stock,  reclassification
of stock,  consolidation,  merger,  conveyance or otherwise),  receive notice of
meetings,  receive dividends or subscription rights, or otherwise,  prior to the
issuance to the Holder of the Warrant  Shares which such Person is then entitled
to receive upon the due exercise of this Warrant. In addition, nothing contained
in this Warrant shall be construed as imposing any  liabilities on the Holder to
purchase any  securities  (upon  exercise of this Warrant or  otherwise) or as a
shareholder of the Company, whether such liabilities are asserted by the Company
or by  creditors  of the  Company.  Notwithstanding  this Section 6, the Company
shall  provide the Holder with copies of the same notices and other  information
given to the shareholders of the Company generally,  contemporaneously  with the
giving thereof to the shareholders.

7. REISSUANCE OF WARRANTS.

     (a) Transfer of Warrant.  If this Warrant is to be transferred,  the Holder
shall  surrender  this  Warrant  to the  Company,  whereupon  the  Company  will
forthwith  issue and  deliver  upon the order of the  Holder a new  Warrant  (in
accordance with Section 7(d) and  representing the right to purchase such number
of Warrant  Shares equal to at least 2% of all Warrant  Shares then  purchasable
under  all  outstanding  Warrants),   registered  as  the  Holder  may  request,
representing   the  right  to  purchase  the  number  of  Warrant  Shares  being
transferred  by the Holder and, if less than the total number of Warrant  Shares
then underlying this Warrant is being transferred,  a new Warrant (in accordance
with Section 7(d)) to the Holder  representing  the right to purchase the number
of Warrant Shares not being  transferred;  provided,  however,  that no transfer
shall be permitted of Warrants  representing  the right to purchase less than 2%
of all Warrant Shares then purchasable under all outstanding  Warrants or if the
transferor,  after such transfer,  would own Warrants  representing the right to
purchase  less  than  2% of  all  Warrant  Shares  then  purchasable  under  all
outstanding Warrants.

     (b) Lost,  Stolen or  Mutilated  Warrant.  Upon  receipt by the  Company of
evidence reasonably satisfactory to the Company of the loss, theft,  destruction
or mutilation of this Warrant,  and, in the case of loss,  theft or destruction,
of any  indemnification  undertaking  by the  Holder to the  Company  reasonably
satisfactory to the Company but in no event requiring the posting of any bond or
similar security and, in the case of mutilation, upon surrender and cancellation
of this  Warrant,  the  Company  shall  execute  and deliver to the Holder a new
Warrant (in accordance with Section 7(d)) representing the right to purchase the
Warrant Shares then underlying this Warrant.

     (c) Exchangeable for Multiple Warrants. This Warrant is exchangeable,  upon
the surrender hereof by the Holder at the principal office of the Company, for a
new Warrant or Warrants (in accordance  with Section 7(d))  representing  in the
aggregate  the right to purchase  the number of Warrant  Shares then  underlying
this  Warrant,  and each such new Warrant will  represent  the right to purchase
such portion of such Warrant  Shares as is  designated by the Holder at the time
of such surrender;  provided, however, that no Warrants for fractional shares of
Common Stock, and no Warrants representing the right to purchase less than 2% of
all Warrant Shares then  purchasable  under all outstanding  Warrants,  shall be
given.

     (d) Issuance of New  Warrants.  Whenever the Company is required to issue a
new Warrant pursuant to the terms of this Warrant, such new Warrant (i) shall be
of like tenor with this Warrant, (ii) shall represent,  as indicated on the face
of such new Warrant,  the right to purchase the Warrant  Shares then  underlying
this Warrant (or in the case of a new Warrant  being issued  pursuant to Section
7(a) or Section 7(c),  the Warrant Shares  designated by the Holder which,  when
added to the number of shares of Common Stock  underlying the other new Warrants
issued in connection  with such issuance,  does not exceed the number of Warrant
Shares then  underlying  this  Warrant),  (iii) shall have an issuance  date, as
indicated  on the face of such  new  Warrant  which is the same as the  Issuance
Date,  and (iv)  shall  have the same  rights and  conditions  as this  Warrant.
Notwithstanding anything to the contrary contained herein, the Company shall not
be  required  to  effect  any  transfer  of  this  Warrant unless the transferee
delivers to the Company an undertaking  to comply  with the  covenant  contained
in Section 7(n) of the Securities Purchase Agreement.

8. NOTICES.  Whenever notice is required to be given under this Warrant,  unless
otherwise  provided  herein,  such notice shall be given in accordance  with the
Securities  Purchase  Agreement.  The Company  will give  written  notice to the
Holder (i) as soon as  practicable  and in no event later than two Business Days
following  any  adjustment  of the Exercise  Price,  setting forth in reasonable
detail, and certifying, the calculation of such adjustment and (ii) at least ten
Business Days prior to the date on which the Company closes its books or takes a
record  (A) with  respect to any  dividend  or  distribution  upon the shares of
Common Stock, (B) with respect to any grants, issuances or sales of any Options,
Convertible  Securities  or rights to purchase  stock,  warrants,  securities or
other  property  to  holders  of shares of Common  Stock or (C) for  determining
rights to vote with  respect  to any  Fundamental  Transaction,  dissolution  or
liquidation,  provided in each case that such information shall be made known to
the public prior to or in  conjunction  with such notice  being  provided to the
Holder.

9. AMENDMENT AND WAIVER.  Except as otherwise provided herein, the provisions of
this  Warrant  may be  amended  and the  Company  may  take  any  action  herein
prohibited,  or omit to perform any act herein  required to be  performed by it,
only if the Company has obtained  the written  consent of the Holder or, if more
than one, the holders of Warrants representing the right to purchase at any time
a majority of all Warrant Shares then issuable thereunder.

10.  GOVERNING LAW. This Warrant shall be governed by and construed and enforced
in accordance  with, and all questions  concerning the  construction,  validity,
interpretation  and  performance  of this  Warrant  shall be  governed  by,  the
internal laws of the State of New York,  without  giving effect to any choice of
law or conflict of law  provision  or rule  (whether of the State of New York or
any other  jurisdictions)  that would cause the  application  of the laws of any
jurisdictions other than the State of New York.

11.  JURISDICTION.  The Company hereby  irrevocably  consents and submits to the
exclusive  jurisdiction  of the United  States  District  Court for the Southern
District of New York in connection  with any dispute  arising out of or relating
to  this  Warrant  or the  transactions  contemplated  hereby  or by  any  other
Transaction  Document,  waives any objection to venue in such  District  (unless
such court lacks  jurisdiction with respect to such dispute,  in which case, the
Company  irrevocably  consents to the jurisdiction of the courts of the State of
New York located in New York County in  connection  with such dispute and waives
any  objection  to venue in the County of New York),  and agrees that service of
any summons,  complaint, notice or other process relating to such dispute may be
effected  in the manner  provided  by Section  7(f) of the  Securities  Purchase
Agreement.

12. WAIVER OF JURY TRIAL.  THE COMPANY  HEREBY WAIVES ANY RIGHT TO TRIAL BY JURY
WITH  RESPECT  TO ANY  ACTION OR  PROCEEDING  RELATING  TO THIS  WARRANT  OR ANY
AGREEMENT,  INSTRUMENT OR DOCUMENT EXECUTED AND DELIVERED IN CONNECTION HEREWITH
OR THEREWITH, INCLUDING THE TRANSACTION DOCUMENTS.

13. CONSTRUCTION;  HEADINGS.  This Warrant shall be deemed to be jointly drafted
by the Company and the Holder and shall not be  construed  against any person as
the  drafter  hereof.  The  headings  of this  Warrant  are for  convenience  of
reference  and shall not form part of, or affect  the  interpretation  of,  this
Warrant.

14. DISPUTE  RESOLUTION.  If the Holders of Warrants  representing  the right to
purchase  such  number of Warrant  Shares  equal to more than 50% of all Warrant
Shares then purchasable under all outstanding Warrants dispute the determination
of the Exercise Price or the arithmetic  calculation of the Warrant Shares, such
Holders  may give  the  Company  written  notice  of such  dispute  (a  "Dispute
Notice"). The Company shall submit its determinations,  arithmetic  calculations
and other  information  relating thereto to the Holders via facsimile within one
Business Day of receipt of the Dispute Notice. If such notifying Holders and the
Company  are  unable to agree  upon such  determination  or  calculation  of the
Exercise  Price or the Warrant  Shares  within one Business Day of such disputed
determination or arithmetic  calculation being submitted to the Holder, then the
Company  shall within one Business Day  thereafter  submit via facsimile (a) the
disputed  determination  of the  Exercise  Price  to an  independent,  reputable
investment  bank selected by such  notifying  Holders and subject to approval by
the Company or (b) the disputed arithmetic  calculation of the Warrant Shares to
an independent accounting firm selected by such notifying Holders and subject to
approval by the Company.  The Company shall cause at its expense the  investment
bank or the  accountant,  as the case may be, to perform the  determinations  or
calculations  and notify the Company and the Holder of the results no later than
five  Business  Days from the time it receives  the disputed  determinations  or
calculations.   Such  investment   bank's  or  accountant's   determination   or
calculation,  as the  case may be,  shall be  binding  upon all  parties  absent
demonstrable error.

15. REMEDIES,  OTHER  OBLIGATIONS,  BREACHES AND INJUNCTIVE RELIEF. The remedies
provided  in this  Warrant  shall be  cumulative  and in  addition  to all other
remedies  available under this Warrant and the other Transaction  Documents,  at
law or in  equity  (including  a decree of  specific  performance  and/or  other
injunctive relief), and nothing herein shall limit the right of the Holder right
to pursue actual damages for any failure by the Company to comply with the terms
of this Warrant. The Company acknowledges that a breach by it of its obligations
hereunder will cause  irreparable  harm to the Holder and that the remedy at law
for any such breach may be inadequate. The Company therefore agrees that, in the
event of any such breach or threatened  breach, the holder of this Warrant shall
be  entitled,  in addition to all other  available  remedies,  to an  injunction
restraining  any breach,  without the  necessity  of showing  economic  loss and
without any bond or other security being required.

16. TRANSFER.  Subject to the provisions of the legend on the first page of this
Warrant,  this Warrant may be offered for sale,  sold,  transferred  or assigned
without the consent of the Company,  except as may  otherwise be required by the
Securities Purchase Agreement.

17. CERTAIN DEFINITIONS. For purposes of this Warrant, the following terms shall
have the following meanings:

     (a) "Approved Stock Plan" means any employee  benefit plan that has been or
is  approved by the Board of  Directors  of the  Company,  pursuant to which the
Company's  securities  may be  issued  to any  employee,  officer,  director  or
consultant for bona fide services actually provided to the Company.

     (b) "Bloomberg" means Bloomberg Financial Markets.

     (c) "Business Day" means any day other than  Saturday,  Sunday or other day
on which  commercial banks in The City of New York are authorized or required by
law to remain closed.

     (d) "Closing Bid Price" and "Closing Sale Price" means, for any security as
of any  date,  the  last  closing  bid  price  and  last  closing  trade  price,
respectively,  for  such  security  on the  Principal  Market,  as  reported  by
Bloomberg,  or, if the Principal  Market begins to operate on an extended  hours
basis and does not  designate  the closing bid price or the closing trade price,
as the case may be, then the last bid price or last trade  price,  respectively,
of such security prior to 4:00:00 p.m., New York Time, as reported by Bloomberg,
or, if the Principal Market is not the principal  securities exchange or trading
market  for such  security,  the last  closing  bid price or last  trade  price,
respectively,  of such security on the principal  securities exchange or trading
market where such security is listed or traded as reported by  Bloomberg,  or if
the  foregoing  do not apply,  the last  closing bid price or last trade  price,
respectively,  of such security in the over-the-counter market on the electronic
bulletin board for such security as reported by Bloomberg, or, if no closing bid
price or last trade  price,  respectively,  is  reported  for such  security  by
Bloomberg,  the average of the bid prices, or the ask prices,  respectively,  of
any market  makers for such  security as  reported in the "pink  sheets" by Pink
Sheets LLC (formerly the National  Quotation  Bureau,  Inc.). If the Closing Bid
Price or the  Closing  Sale  Price  cannot be  calculated  for a  security  on a
particular  date on any of the  foregoing  bases,  the  Closing Bid Price or the
Closing Sale Price,  as the case may be, of such  security on such date shall be
the fair market value as mutually  determined by the Company and the Holder.  If
the  Company  and the Holder are unable to agree upon the fair  market  value of
such security,  then such dispute shall be resolved  pursuant to Section 12. All
such determinations to be appropriately  adjusted for any stock dividend,  stock
split,  stock  combination  or other similar  transaction  during the applicable
calculation period.

     (e) "Common  Stock" means (i) the  Company's  shares of Common  Stock,  par
value $0.01 per share,  and (ii) any share  capital into which such Common Stock
shall have been changed or any share capital  resulting from a  reclassification
of such Common Stock.

     (f)  "Convertible  Securities"  means any stock or  securities  (other than
Options) directly or indirectly  convertible into or exercisable or exchangeable
for shares of Common Stock.

     (g)  "Eligible  Market"  means the  Principal  Market,  The New York  Stock
Exchange,  Inc.,  or The Nasdaq  Stock  Market  (including  the Nasdaq  SmallCap
Market).

     (h) "Expiration  Date" means the seventh  anniversary of the original issue
date  hereof or, if such date  falls on a day other  than a  Business  Day or on
which trading does not take place on the  Principal  Market (a  "Holiday"),  the
next date that is not a Holiday.

     (i)  "Excluded  Securities"  means any  shares of  Common  Stock  issued or
issuable:  (i) in connection with any Approved Stock Plan; (ii) upon exercise of
the Warrants or the  conversion  of the Notes;  or (iii) upon  conversion of any
Options or Convertible  Securities  outstanding on the day immediately preceding
the  Subscription  Date,  provided that the terms of such Options or Convertible
Securities  are not  amended,  modified or changed on or after the  Subscription
Date in any respect adverse to the Holder.

     (j)  "Fundamental  Transaction"  means that the Company shall,  directly or
indirectly,  in one or more related transactions,  (i) consolidate or merge with
or into  (whether  or not the  Company  is the  surviving  corporation)  another
Person, or (ii) sell,  assign,  transfer,  convey or otherwise dispose of all or
substantially  all of the properties or assets of the Company to another Person,
or (iii) allow another Person to make a purchase offer, tender offer or exchange
offer that is  accepted  by the  holders  of more than the 50% of the  Company's
outstanding  voting  securities (but excluding any voting securities held by the
Person or Persons making or party to, or any Person(s)  associated or affiliated
with such Person or Persons  making or party to,  such  purchase  offer,  tender
offer or exchange offer), or (iv) enter into a stock purchase agreement or other
agreement  to  effect  any  other  business  combination   (including,   without
limitation, a reorganization,  recapitalization or spin-off) with another Person
or  Persons  ,  whereby  more  than  50% of  the  Company's  outstanding  voting
securities  are  acquired  by such  Person  or  Persons  (excluding  any  voting
securities of the Company held by such Person or Persons  making or party to, or
any Person(s)  associated or  affiliated  with such Person or Persons  making or
party to, such stock purchase  agreement or other agreement to effect such other
business  combination),  or (v) changed the  members  constituting  its Board of
Directors such that the  individuals  who  constituted the Board of Directors on
the Subscription  Date or other governing body of the Company (together with any
new directors whose election to such Board of Directors or whose  nomination for
election by the stockholders of the Company was approved by a vote of 66-2/3% of
the directors then still in office who were either directors on the Subscription
Date or whose  election or nomination  for election was previously so approved),
cease for any reason to constitute a majority of such Board of Directors then in
office, or (vi) reorganize, recapitalize or reclassify its Common Stock.

     (k)  "Options"  means any rights,  warrants or options to subscribe  for or
purchase shares of Common Stock or Convertible Securities.

     (l)  "Parent  Entity"  of a  Person  means  an  entity  that,  directly  or
indirectly,  controls the applicable Person and whose common stock or equivalent
equity security is quoted or listed on an Eligible Market,  or, if there is more
than one such  Person or Parent  Entity,  the Person or Parent  Entity  with the
largest  public  market  capitalization  as of the date of  consummation  of the
Fundamental Transaction.

     (m)  "Person"  means  an  individual,   a  limited  liability   company,  a
partnership,  a  joint  venture,  a  corporation,  a  trust,  an  unincorporated
organization,  any other entity and a  government  or any  department  or agency
thereof.

     (n) "Principal Market" means the American Stock Exchange.

     (o) "Registration Rights Agreement" means those certain registration rights
provisions  by and  among  the  Company  and  the  Holder  as  contained  in the
Securities Purchase Agreement.

     (p) "Successor Entity" means the Person,  which may be the Company,  formed
by,  resulting from or surviving any Fundamental  Transaction or the Person with
which such Fundamental  Transaction shall have been made,  provided that if such
Person is not a publicly  traded entity whose common stock or equivalent  equity
security is quoted or listed for trading on an Eligible Market, Successor Entity
shall mean such Person's Parent Entity.

     (q) "Trading  Day" means any day on which the Common Stock is traded on the
Principal  Market,  or, if the  Principal  Market is not the  principal  trading
market  for the Common  Stock,  then on the  principal  securities  exchange  or
securities  market on which  the  Common  Stock is then  traded;  provided  that
"Trading  Day" shall not include any day on which the Common  Stock is scheduled
to trade on such  exchange or market for less than 4.5 hours or any day that the
Common Stock is suspended  from trading during the final hour of trading on such
exchange or market (or if such  exchange or market does not designate in advance
the closing  time of trading on such  exchange  or market,  then during the hour
ending at 4:00 p.m., New York Time).

     IN WITNESS WHEREOF,  the Company has caused this Warrant to Purchase Common
Stock to be duly executed as of the Issuance Date set out above.

                                        GSE SYSTEMS, INC.
                                        By:________________________
                                        Name: Title:


                                   EXHIBIT A

                                EXERCISE NOTICE

            TO BE EXECUTED BY THE REGISTERED HOLDER TO EXERCISE THIS

                        WARRANT TO PURCHASE COMMON STOCK

                               GSE SYSTEMS, INC.

The undersigned  holder hereby  exercises the right to purchase  ________ of the
shares of Common  Stock  ("Warrant  Shares") of GSE  Systems,  Inc.,  a Delaware
corporation  (the  "Company"),  evidenced  by the  attached  Warrant to Purchase
Common Stock (the  "Warrant").  Capitalized  terms used herein and not otherwise
defined shall have the respective meanings set forth in the Warrant.

1. Form of Exercise Price. The Holder intends that payment of the Exercise Price
shall be made as: a "Cash  Exercise"  with respect to ________  Warrant  Shares;
and/or a "Cashless Exercise" with respect to ________ Warrant Shares.

2.  Payment of Exercise  Price.  In the event that the holder has elected a Cash
Exercise with respect to some or all of the Warrant Shares to be issued pursuant
hereto,  the  holder  shall  pay  the  Aggregate  Exercise  Price  in the sum of
$________ to the Company in accordance with the terms of the Warrant.

3. Delivery of Warrant  Shares.  The Company shall deliver to the holder Warrant
Shares in accordance with the terms of the Warrant.

Dated:________                          Name of Registered Holder
                                        _________________________
                                        By:
                                        Name:
                                        Title:

                                 ACKNOWLEDGMENT

The Company  hereby  acknowledges  this Exercise  Notice and hereby  directs its
transfer agent to issue the number of shares of Common Stock  indicated above in
accordance  with the Transfer Agent  Instructions  dated ______ from the Company
and  acknowledged  and  agreed to by such  transfer  agent.

                                        GSE  SYSTEMS,  INC.
                                        By:________________________
                                        Name:
                                        Title: