Exhibit 32
CERTIFICATIONS
PURSUANT TO 18 U.S.C.
SECTION 1350
In connection
with the Quarterly Report of ConocoPhillips
(the Company)
on Form 10-Q for the period ended
March 31, 2021, as filed
with the U.S. Securities and
Exchange
Commission on the date hereof
(the Report),
each of the undersigned hereby
certifies, pursuant
to 18 U.S.C. Section 1350, as adopted
pursuant to Section
906 of the Sarbanes
-Oxley
Act of 2002, that
to their knowledge:
(1)
The Report fully complies with
the requirements of Sections
13(a) or 15(d) of the
Securities
Exchange
Act of 1934; and
(2)
The information
contained in the
Report fairly presents, in
all material respects, the
financial
condition and
results of operations
of the Company.
May 6, 2021
/s/ Ryan M. Lance
Chief Executive Officer
/s/ William
L. Bullock
,
Jr.
Executive Vice
President and
Chief Financial Officer