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
September
30, 2020, 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.
/s/ William
L. Bullock
,
Jr.
Executive
Vice President
and