ConocoPhillips (COP) 10-Q 2021 Q2 Quarterly report

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

June 30, 2021, as filed with the U.S. Securitiesand Exchange Commission on the date hereof(the Report),

each of the undersigned hereby certifies, pursuantto 18 U.S.C. Section 1350, as adopted pursuantto Section

906 of the Sarbanes-Oxley Act of 2002, that to theirknowledge:

(1)

The Report fully complies with the requirementsof Sections 13(a) or 15(d) of the Securities

Exchange Act of 1934; and

(2)

The information contained in the Report fairlypresents, in all material respects, the financial

condition and results of operations of the Company.

August 5, 2021

/s/ Ryan M. Lance

Ryan M. Lance

Chairman and

Chief Executive Officer

/s/ William L. Bullock, Jr.

William L. Bullock, Jr.

Executive Vice President and

Chief Financial Officer