These  securities have not been  registered  under the Securities Act of 1933 or
any state  securities  laws.  These securities have been acquired for investment
and not with a view to distribution or resale,  and may not be sold,  mortgaged,
pledged,  hypothecated or otherwise  transferred without  registration under the
Securities  Act of 1933 and  qualification  under state  securities  laws, or an
opinion  of  counsel   acceptable  to  the  corporation  that  registration  and
qualification is not required.


                         TITAN MOTORCYCLE CO. OF AMERICA

                          Common Stock Purchase Warrant


To Subscribe for and Purchase                                 September 17, 1999
2,500 Shares of Common Stock of
TITAN MOTORCYCLE CO. OF AMERICA

     THIS CERTIFIES that, for good and valuable  consideration,  the sufficiency
of which is hereby acknowledged, Mr. Richard Cohn or his registered assigns (the
"Holder") is entitled to subscribe for and purchase from TITAN MOTORCYCLE CO. OF
AMERICA, a Nevada corporation  (hereinafter  called the "Company"),  up to 2,500
shares  (subject  to  adjustment  as  hereinafter  provided)  of fully  paid and
non-assessable Common Stock of the Company (the "Common Stock"),  subject to the
provisions and upon the terms and conditions  hereinafter set forth at the price
of  $3.21744  per  share  (such  price as may from time to time be  adjusted  as
provided herein is called the "Warrant Price"), at or prior to 5:00 p.m. Pacific
time on September 17, 2004 (the "Exercise Period").

     This Warrant and any Warrant  subsequently issued upon exchange or transfer
hereof are hereinafter collectively called the "Warrant."

     Section 1. EXERCISE OF WARRANT.  The rights represented by this Warrant may
be  exercised  by the  Holder,  in  whole or in part  (but not as to  fractional
shares)  at any time or from  time to time  during  the  Exercise  Period by the
completion  of the purchase  form  attached  hereto and by the surrender of this
Warrant (properly  endorsed) at the office of the Company as it may designate by
notice in writing to the Holder hereof at the address of the Holder appearing on
the books of the Company,  and by payment to the Company of the Warrant Price in
cash or by certified or official bank check, for each share being purchased.  In
the  event  of any  exercise  of the  rights  represented  by  this  Warrant,  a
certificate  or  certificates  for the  shares  of  Common  Stock so  purchased,
registered in the name of the Holder or its nominee or other party designated in
the purchase form by the Holder hereof, shall be delivered to the Holder as soon
as practicable after the exercise of this Warrant,  and in any event within five
(5) business days after the date on which the rights represented by this Warrant
shall have been so exercised;  and,  unless this Warrant has expired or has been
exercised in full,  a new Warrant  representing  the number of shares  (except a
remaining  fractional  share),  if any, with respect to which this Warrant shall

not then have been  exercised  shall  also be issued to the Holder  within  such
time.  The person in whose name any  certificate  for shares of Common  Stock is
issued upon  exercise of this  Warrant  shall for all purposes be deemed to have
become the holder of record of such shares on the date on which this Warrant was
surrendered and payment of the Warrant is made, except that, if the date of such
surrender and payment is a date on which the stock transfer books of the Company
are closed, such person shall be deemed to have become the holder of such shares
at the close of business on the next succeeding date on which the stock transfer
books are open.  No  fractional  shares  shall be issued  upon  exercise of this
Warrant and no payment or adjustment  shall be made upon any exercise on account
of any cash  dividends  on the Common Stock  issued upon such  exercise.  If any
fractional  interest in a share of Common Stock would,  except for the provision
of this  Section 1, be delivered  upon such  exercise,  the Company,  in lieu of
delivery of a  fractional  share  thereof,  shall pay to the Holder an amount in
cash equal to the current market price of such fractional share as determined in
good faith by the Board of Directors of the Company.  Current market price means
the closing  price of the Common Stock on the  relevant  date as reported on the
Nasdaq SmallCap  Market (or any national  securities  exchange,  national market
including the Nasdaq National  Market,  or other  quotation  system on which the
Common Stock is then  listed) or, if no prices are reported for that date,  such
prices on the next preceding date for which closing prices were reported,  or if
the Common Stock is not publicly traded, by such methods or procedures as may be
established  from time to time by the Board of  Directors of the Company in good
faith.

     Section 2. STOCK SPLITS, CONSOLIDATION, MERGER, AND SALE. In the event that
before the issuance of the shares of Common Stock into which this Warrant may be
exercised the outstanding  shares of Common Stock shall be split,  combined,  or
consolidated,  by dividend,  reclassification  or  otherwise,  into a greater or
lesser  number of shares of Common Stock or any other class or classes of stock,
as  appropriate,   the  Warrant  Price  in  effect  immediately  prior  to  such
combination or  consolidation  and the number of shares  purchasable  under this
Warrant  shall,  concurrently  with the  effectiveness  of such  combination  or
consolidation,  be  proportionately  adjusted.  If there shall be  effected  any
consolidation  or merger of the Company with another  corporation,  or a sale of
all or substantially all of the Company's assets to another corporation,  and if
the holders of Common Stock shall be entitled  pursuant to the terms of any such
transaction  to  receive  stock,  securities  or assets  with  respect  to or in
exchange for Common Stock, then, as a condition of such consolidation, merger or
sale,  lawful and adequate  provisions  shall be made whereby the Holder of this
Warrant shall thereafter have the right to receive,  upon the basis and upon the
terms and conditions  specified herein and in lieu of the shares of Common Stock
immediately  theretofore  receivable  upon the  exercise of such  Warrant,  such
shares of stock, securities or assets as may be issuable or payable with respect
to or in exchange for a number of outstanding  shares of such Common Stock equal
to the  number  of  shares  of such  Common  Stock  immediately  theretofore  so
receivable had such  consolidation,  merger or sale not taken place,  and in any
such case  appropriate  provisions  shall be made with respect to the rights and
interests of the Holder to the end that the provisions  hereof shall  thereafter
be  applicable,  as  nearly  as may be,  in  relation  to any  shares  of stock,
securities or assets thereafter deliverable upon the exercise of this Warrant.

     (a) STOCK TO BE RESERVED. The Company will at all times reserve and
keep  available out of its  authorized  Common Stock,  solely for the purpose of
issue upon the  exercise  of this  Warrant as herein  provided,  such  number of
shares of Common  Stock as shall  then be  issuable  upon the  exercise  of this
Warrant.

     (b) ISSUE TAX. The issuance of certificates for shares of Common Stock upon
exercise of this  Warrant  shall be made  without  charge to the Holders of this
Warrant for any issuance tax in respect thereof  provided that the Company shall
not be required  to pay any tax which may be payable in respect of any  transfer
involved in the issuance and  delivery of any  certificate  in a name other than
that of the Holder of this Warrant, which shall be borne by the Holder.

     (c) CLOSING OF BOOKS.  The  Company  will not close its  transfer  books to
impair any  issuance  of the shares of Common  Stock upon the  exercise  of this
Warrant.

     Section 3. NOTICES OF RECORD DATES. In the event of:

     (a) any taking by the  Company  of a record of the  holders of any class of
securities for the purpose of determining  the holders  thereof who are entitled
to receive any dividend or other distribution  (other than cash dividends out of
earned surplus),  or any right to subscribe for,  purchase or otherwise  acquire
any  shares of stock of any class or any other  securities  or  property,  or to
receive any other right, or

     (b) any capital  reorganization  of the Company,  any  reclassification  or
recapitalization  of the capital  stock of the Company or any transfer of all or
substantially all the assets of the Company to or consolidation or merger of the
Company with or into any other corporation, or

     (c) any voluntary or involuntary dissolution,  liquidation or winding-up of
the  Company,  then and in each such event the  Company  will give notice to the
Holder of this Warrant specifying (i) the date on which any such record is to be
taken for the purpose of such  dividend,  distribution  or right and stating the
amount and character of such dividend,  distribution or right, and (ii) the date
on which any such reorganization, reclassification,  recapitalization, transfer,
consolidation,  merger, dissolution, liquidation or winding-up is to take place,
and the time, if any is to be fixed, as of which the holders of record of Common
Stock will be entitled to exchange  their shares of Common Stock for  securities
or  other  property  deliverable  upon  such  reorganization,  reclassification,
recapitalization,  transfer, consolidation,  merger, dissolution, liquidation or
winding-up.  Such notice shall be given at least ten (10) days and not more than
ninety (90) days prior to the date  therein  specified,  and such  notice  shall
state  that  the  action  in  question  or the  record  date is  subject  to the
effectiveness  of a registration  statement under the Securities Act of 1933, as
amended (the "Securities Act") or to a favorable vote of shareholders, if either
is  required.  Any  failure to provide a notice  hereunder  shall not affect the
corporate action taken.

     Section 4. NO  SHAREHOLDER  RIGHTS OR  LIABILITIES.  This Warrant shall not
entitle the Holder  hereof to any voting rights or other rights as a shareholder
of the Company. No provision hereof, in the absence of affirmative action by the
Holder hereof to purchase shares of Common Stock, and no mere enumeration hereon
of the  rights  or  privileges  of the  Holder  hereof,  shall  give rise to any
liability  of such  Holder  for the  Warrant  Price or as a  shareholder  of the
Company,  whether  such  liability is asserted by the Company or by creditors of
the Company.

     Section 5.  REPRESENTATIONS  OF HOLDER.  The Holder hereby  represents  and
acknowledges  to the  Company as of the date  hereof and as of each  exercise of
this Warrant that:

     (a) this Warrant,  the Common Stock  issuable upon exercise of this Warrant
and any securities issued with respect to any of them by way of a stock dividend
or stock split or in connection with a recapitalization,  merger,  consolidation
or other reorganization will be "restricted  securities" as such term is used in
the rules and  regulations  under the Securities  Act; such  securities have not
been and may not be registered  under the Securities Act or any state securities
law;  and such  securities  must be held  indefinitely  unless  registration  is
effected or transfer can be made pursuant to appropriate exemptions;

     (b) the Holder has read, and fully  understands,  the terms of this Warrant
set forth on its face and the attachments hereto,  including the restrictions on
transfer contained herein;

     (c) the Holder is  purchasing  for  investment  for its own account and not
with a view to or for sale in connection  with any  distribution of this Warrant
or the Common Stock of the Company issuable upon exercise of this Warrant and it
has no  intention  of  selling  such  securities  in a  public  distribution  in
violation of the federal  securities  laws or any  applicable  state  securities
laws;

     (d) the Holder is an "accredited  investor" within the meaning of paragraph
(a) of Rule 501 of  Regulation  D  promulgated  by the  Securities  and Exchange
Commission and an "excluded purchaser" within the meaning of Section 25102(f) of
the California Corporate Securities Law of 1968; and

     (e) the Company may affix the  following  legend (in  addition to any other
legend(s),  if any,  required by applicable  state corporate  and/or  securities
laws) to certificates  for shares of Common Stock (or other  securities)  issued
upon exercise of this Warrant:

          These  securities have not been registered under the Securities Act of
          1933 or any state securities laws. These securities have been acquired
          for investment and not with a view to distribution or resale,  and may
          not be sold, mortgaged, pledged, hypothecated or otherwise transferred
          without   registration   under   the   Securities   Act  of  1933  and
          qualification  under state  securities  laws, or an opinion of counsel
          acceptable to the corporation that  registration and  qualification is
          not required.

     Section 6. RESTRICTIONS ON TRANSFER; REGISTRATION RIGHTS.

     (a) The Holder may not transfer this Warrant without the written consent of
the  Company  and an opinion  of  counsel  acceptable  to the  Company  that the
transfer may be effected in compliance with exemptions  under the Securities Act
and  applicable  state  securities  laws. The Holder may not transfer the Common
Stock underlying the Warrant unless there is an effective registration statement
in  effect  under  the  Securities  Act  and the  transfer  is  qualified  under
applicable  state securities laws, or the Holder has delivered to the Company an
opinion of counsel acceptable to the Company that registration and qualification
is not required.

     (b) The Company is obligated to cause a registration  statement to be filed
under  the  Securities  Act  on  or  before  October  15,  1999  pursuant  to  a
Registration Rights Agreement between the Company and Advantage Fund II Ltd. and
a Registration  Rights  Agreement  between the Company and Koch Investment Group
Limited  (the  "Registration  Statement").  The  Company  shall  include in such
Registration  Statement all of the Common Stock issuable upon  conversion of the
Warrant.

     (c)  All  fees,  disbursements,  and  out-of-pocket  expenses  incurred  in
connection with the filing of the Registration  Statement under Paragraph (a) of
Section 6 and in complying with applicable securities and Blue Sky laws shall be
borne by the Company,  provided,  however,  that any expenses of the  individual
Holder or holders of the underlying securities, including but not limited to the
Holder or holders' attorneys' fees and discounts and commissions, shall be borne
by the Holder and holders of the Common  Stock.  The Company at its expense will
supply the Holder and any holder of Common Stock with copies of the Registration
Statement and the  prospectus or offering  circular  included  therein and other
related  documents  in such  quantities  as may be  reasonably  requested by the
Holder or holder of Common Stock.

     (d) The Company  shall have no obligation to register the Warrant but shall
be obligated to register the Common Stock  issuable upon exercise of the Warrant
in accordance with Paragraph (b) of Section 6.

     (e) The  Company  agrees  that it will use its best  efforts  to keep  such
Registration  Statement  effective until September 17, 2004 or such earlier date
as all Common Stock covered by such Registration Statement have been disposed of
pursuant thereto.

     (f) The Holder  agrees to  cooperate  with the  Company  and to provide the
Company on its request with all information  concerning the Holder,  the Warrant
issued hereunder, any Common Stock acquired upon exercise of the Warrant and the
means or methods of intended  disposition  of the Common  Stock  pursuant to the
Registration  Statement that may reasonably be requested by the Company in order
for the Company to perform its obligation under this Section 6.

     Section 7. LOST, STOLEN,  MUTILATED,  OR DESTROYED WARRANT. If this Warrant
is lost, stolen,  mutilated, or destroyed,  the Company may, on such terms as to
indemnity or  otherwise as it may in its  discretion  reasonably  impose  (which
shall, in the case of a mutilated Warrant, include the surrender thereof), issue
a new Warrant of like  denomination  and tenor as the  Warrant so lost,  stolen,
mutilated, or destroyed.

     Section 8. PRESENTMENT.  Prior to due presentment of this Warrant, together
with a completed  assignment form attached hereto for  registration of transfer,
the Company may deem and treat the Holder as the absolute  owner of the Warrant,
notwithstanding  any  notation of ownership or other  writing  thereon,  for the
purpose of any  exercise  thereof  and for all other  purposes,  and the Company
shall not be affected by any notice to the contrary.

     Section 9.  NOTICE.  Notice or demand  pursuant  to this  Warrant  shall be
sufficiently  given or  made,  if sent by  first-class  mail,  postage  prepaid,
addressed,  if to the  Holder of this  Warrant,  to the Holder at its last known
address as it shall appear in the records of the Company, and if to the Company,
at 2222 West Peoria Avenue, Phoenix,  Arizona 85029, Attention:  Chief Financial
Officer.  The Company may alter the  address to which  communications  are to be
sent by  giving  notice  of such  change  of  address  in  conformity  with  the
provisions of this Section 9 for the giving of notice.

     Section 10. GOVERNING LAW. The validity, interpretation, and performance of
this  Warrant  shall be  governed  by the laws of the State of  Arizona  without
regard to principles of conflicts of laws.

     Section 11. SUCCESSORS, ASSIGNS. Subject to the restrictions on transfer by
Holder  set  forth in  Section 6 hereof,  all the  terms and  provisions  of the
Warrant shall be binding upon and inure to the benefit of and be  enforceable by
the respective successors and assigns of the parties hereto.

     Section 12. AMENDMENT. This Warrant may be modified, amended, or terminated
by a writing signed by the Company and the Holder.

     Section 13. SEVERABILITY. Should any part but not the whole of this Warrant
for any reason be declared invalid,  such decision shall not affect the validity
of any  remaining  portion,  which  remaining  portion shall remain in force and
effect as if this Warrant had been  executed  with the invalid  portion  thereof
eliminated,  and it is hereby  declared the intention of the parties hereto that
they would have executed the remaining portion of this Warrant without including
therein any such part which may, for any reason, be hereafter declared invalid.

     Section 14. NO IMPAIRMENT.  The Company will not, by any voluntary  action,
avoid or seek to avoid the  observance or  performance of any of the terms to be
observed or performed  hereunder  by the Company,  but will at all times in good
faith assist in the carrying  out of all the  provisions  of this Warrant and in
the taking of all such action as may be  necessary  or  appropriate  in order to
protect the rights of the Holder of this Warrant against impairment.


                [REMAINDER OF THIS PAGE INTENTIONALLY LEFT BLANK]

     IN WITNESS WHEREOF, the Company has caused this Warrant to be duly executed
and  delivered  on and as of the day and year first above  written by one of its
officers thereunto duly authorized.


                                          TITAN MOTORCYCLE CO. OF AMERICA,
                                          a Nevada corporation


Dated: __________________                 ______________________________________

                                          By: __________________________________
                                          Title: _______________________________


     The  undersigned  Holder  agrees and accepts this Warrant and  acknowledges
that it has read and confirms each of the  representations  contained in Section
5.

                                          RICHARD COHN


                                          ______________________________________

                                  PURCHASE FORM

(To be executed by the Warrant  Holder if he desires to exercise  the Warrant in
whole or in part)

To: TITAN MOTORCYCLE CO. OF AMERICA

     The  undersigned,  whose  Social  Security or other  identifying  number is
_______________,  hereby irrevocably  exercises the attached Warrant,  agrees to
purchase  ______________ shares of Common Stock, and tenders payment herewith to
the   order  of  TITAN   MOTORCYCLE   CO.   OF   AMERICA   in  the   amount   of
$_____________________________.

The undersigned requests that certificates for such shares be issued as follows:

Name: ____________________________________

Address: _________________________________

         _________________________________

         _________________________________

Deliver to: ______________________________

Address: _________________________________

         _________________________________

         _________________________________


and, if the number of shares shall not be all the shares  purchasable  under the
Warrant,  that a new Warrant for the balance remaining of the shares purchasable
under the attached  Warrant be  registered in the name of, and delivered to, the
undersigned at the address stated below:

Address: _________________________________

         _________________________________

         _________________________________


By this exercise,

     The undersigned hereby reaffirms its representations and warrants set forth
forth in Section 5 of the Warrant as of the date hereof.


Dated:______________, _____                Signature: ________________________

                                           (Signature  must conform in all
                                           respects to the name of the Warrant
                                           Holder as specified on the face of
                                           the Warrant, without alteration,
                                           enlargement or any change whatsoever)

                                   ASSIGNMENT

(To be executed by the Warrant  Holder if he desires to effect a transfer of the
Warrant)

     FOR VALUE  RECEIVED,  the undersigned  hereby sells,  assigns and transfers
unto ___________________________________________, whose Social Security or other
identification number is _________________________________ [residing/located] at
______________________________________________________ the attached Warrant, and
appoints ___________________________________________________________ residing at
________________________________________________________________________________
_____________________________________________ the undersigned's attorney-in-fact
to  transfer  said  Warrant  on the books of the  Company,  with  full  power of
substitution in the premises.

Dated:_______________, _____


In the presence of:

_________________________________          _____________________________________

                                           (Signature  must conform in all
                                           respects to the name of the Warrant
                                           Holder as specified on the face of
                                           the Warrant, without alteration,
                                           enlargement or any change whatsoever)