CERTIFICATION PURSUANT TO 18 U.S.C. SECTION
AS ADOPTED PURSUANT TO SECTION 906 OF THE
SARBANES-OXLEY ACT OF 2002
In connection with the Quarterly Report of
Zion Oil and Gas, Inc. (the "Company") on Form 10-Q for the quarter ended June 30, 2017 (the "Report"), as
filed with the Securities and Exchange Commission on the date hereof, I, Michael B. Croswell Jr., Chief Financial Officer of the
Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that
to my knowledge:
(1) the Report fully complies with the requirements
of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and
(2) the information contained in the Report
fairly presents, in all material respects, the financial condition and results of operations of the Company as of the dates and
for the periods presented in the Report.
|/s/ Michael B. Croswell Jr.
|Michael B. Croswell Jr.
|Chief Financial Officer
|(Principal Financial and Accounting Officer)
|August 11, 2017
This certification accompanies this Report
on Form 10-K pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 and shall not, except to the extent required by such Act,
be deemed filed by the Company for purposes of Section 18 of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"). Such certification will not be deemed to be incorporated by reference into any filing under the Securities Act of 1933,
as amended, or the Exchange Act, except to the extent that the Company specifically incorporates it by reference.