[Face of Certificate - ZION OIL &
GAS, INC.]


 


(SEE REVERSE SIDE FOR LEGEND)


 


W


 


WARRANTS


 


(THIS WARRANT WILL BE VOID IF NOT EXERCISED
PRIOR TO 5:00 P.M., EASTERN TIME, September 30, 2018)


 


ZION OIL & GAS, INC.


 


CUSIP 989696 141


 


WARRANT


 


THIS CERTIFIES THAT, for value received _____________ is the
registered holder of a Warrant or Warrants expiring September 30, 2018 (the "Warrant") to purchase one fully paid and
non-assessable share of Common Stock, par value $.01 per share (the "Share"), of ZION OIL & GAS, INC., a Delaware
corporation (the "Company"). The Warrant entitles the holder thereof to purchase from the Company, commencing on September
30, 2013, one Share of the Company at the price of $2.00 per share, upon surrender of this Warrant Certificate and payment of the
Warrant Price at the office or agency of the Warrant Agent, Registrar and Transfer Company (such payment to be made by check made
payable to the order of the Warrant Agent), but only subject to the conditions set forth herein and in the Warrant Agreement between
the Company and the Warrant Agent. In no event shall the registered holder of this Warrant be entitled to receive a net-cash settlement
or other consideration in lieu of physical settlement in Shares of the Company. The Warrant Agreement provides that, upon the occurrence
of certain events, the Warrant Price and the number of Warrant Shares purchasable hereunder, set forth on the face hereof, may,
subject to certain conditions, be adjusted. The term Warrant Price as used in this Warrant Certificate refers to the price per
Share at which Shares may be purchased at the time the Warrant is exercised.


 


This Warrant may expire on the date first above written if it
is not exercised prior to such date by the registered holder pursuant to the terms of the Warrant Agreement.


 


No fraction of a Share will be issued upon any exercise of a
Warrant. If, upon exercise of a Warrant, a holder would be entitled to receive a fractional interest in a Share, the Company will,
upon exercise, round up to the nearest whole number the number of shares of common stock to be issued to the warrant holder.


 


Warrant Certificates, when surrendered at the office or agency
of the Warrant Agent by the registered holder hereof in person or by attorney duly authorized in writing, may be exchanged in the
manner and subject to the limitations provided in the Warrant Agreement, but without payment of any service charge, for another
Warrant Certificate or Warrant Certificates of like tenor and evidencing in the aggregate a like number of Warrants.


 






    	 



    	 



    

 


Upon due presentment for registration of transfer of
the Warrant Certificate at the office or agency of the Warrant Agent, a new Warrant Certificate or Warrant Certificates of like
tenor and evidencing in the aggregate a like number of Warrants shall be issued to the transferee in exchange for this Warrant
Certificate, subject to the limitations provided in the Warrant Agreement, without charge except for any applicable tax or other
governmental charge.


 


The Company and the Warrant Agent may deem and treat the registered
holder as the absolute owner of the Warrants represented by this Warrant Certificate (notwithstanding any notation of ownership
or other writing hereon made by anyone) for the purpose of any exercise hereof, of any distribution to the registered holder, and
for all other purposes, and neither the Company nor the Warrant Agent shall be affected by any notice to the contrary.


 


 


This Warrant does not entitle the registered holder to any of
the rights of a stockholder of the Company.


 


COUNTERSIGNED:


Registrar and Transfer Company


 


WARRANT AGENT


BY:


AUTHORIZED OFFICER


 


DATED:


 


(Signature)


CHIEF EXECUTIVE OFFICER


 


(Seal)


 


(Signature)


SECRETARY


 


 





 


 






    	 



    	 



    

 


SUBSCRIPTION FORM


 


To Be Executed by the Registered Holder
in Order to Exercise Warrants


 


The undersigned Registered Holder irrevocably elects to exercise
_________ Warrants represented by this Warrant Certificate, and to purchase the shares of Common Stock issuable upon the exercise
of such Warrants, and requests that Certificates for such shares shall be issued in the name of


  


 


(PLEASE TYPE OR PRINT NAME AND ADDRESS)


  


 


 


 


(SOCIAL SECURITY OR TAX IDENTIFICATION NUMBER)


 





	and be delivered to	 







 


(PLEASE PRINT OR TYPE NAME AND ADDRESS)


  


 


and, if such number of Warrants shall not be all the Warrants
evidenced by this Warrant Certificate, that a new Warrant Certificate for the balance of such Warrants be registered in the name
of, and delivered to, the Registered Holder at the address stated below:


 


	Dated:	 
	 	 
	 	 
	(SIGNATURE)	 
	 	 
	 	 
	(ADDRESS)	 
	 	 
	 	 
	 	 


 


(TAX IDENTIFICATION NUMBER)


 






 


 


THE SIGNATURE TO THE ASSIGNMENT OF THE SUBSCRIPTION FORM MUST
CORRESPOND TO THE NAME WRITTEN UPON THE FACE OF THIS WARRANT CERTIFICATE IN EVERY PARTICULAR, WITHOUT ALTERATION OR ENLARGEMENT
OR ANY CHANGE WHATSOEVER, AND MUST BE GUARANTEED BY A COMMERCIAL BANK OR TRUST COMPANY OR A MEMBER FIRM OF THE AMERICAN STOCK EXCHANGE,
NEW YORK STOCK EXCHANGE, PACIFIC STOCK EXCHANGE OR CHICAGO STOCK EXCHANGE.


 






    	 



    	 



    

 





  


ASSIGNMENT


 


To Be Executed by the Registered Holder in Order to Assign Warrants


 


For Value Received,_____________________hereby sell, assign,
and transfer unto


 


_____________________________________________________


(PLEASE TYPE OR PRINT NAME AND ADDRESS)


 


_____________________________________________________


 


_____________________________________________________


 


_____________________________________________________


(SOCIAL SECURITY OR TAX IDENTIFICATION NUMBER)


 


	and be delivered to	 





 


(PLEASE PRINT OR TYPE NAME AND ADDRESS)


    


 


Of the Warrants represented by this Warrant Certificate, and
hereby irrevocably constitute and


 


appoint________________________________Attorney to transfer
this Warrant Certificate on the books of the Company, with full power of substitution in the premises.


 


	Dated:	 
	 	 


 


(SIGNATURE)


 


Notice: The signature to this assignment must correspond with
the name as written upon the face of the certificate in every particular, without alteration or enlargement or any change whatever.


 


Signature(s) Guaranteed:


 


By__________________________________ 


THE SIGNATURE(S) MUST BE GUARANTEED BY AN ELIGIBLE GUARANTOR
INSTITUTION (BANKS, STOCKBROKERS, SAVINGS AND LOAN ASSOCIATIONS AND CREDIT UNIONS WITH MEMBERSHIP IN AN APPROVED SIGNATURE GUARANTEE
MEDALLION PROGRAM, PURSUANT TO S.E.C. RULE 17Ad-15).