EXHIBIT 24.2

POWER OF ATTORNEY

     The undersigned appoints Sigmund L. Cornelius, Janet Langford Kelly and Carin S. Knickel, and each of them, severally, as his true and lawful attorney or attorneys-in-fact and agent or agents, each of whom shall be authorized to act with or without the other, with full power of substitution and resubstitution, for him and in his name, place and stead in his capacity as a director of ConocoPhillips, to sign any and all amendments (including post-effective amendments) to this registration statement and all documents or instruments necessary or appropriate to enable ConocoPhillips to comply with the Securities Act of 1933, as amended, and to file the same with the Securities and Exchange Commission, with full power and authority to each of said attorneys-in-fact and agents to do and perform in his name and on his behalf each and every act whatsoever that is necessary, appropriate or advisable in connection with any or all of the above-described matters and to all intents and purposes as he might or could do in person, hereby ratifying and confirming all that said attorneys-in-fact and agents or any of them or their substitutes, may lawfully do or cause to be done by virtue hereof.

/s/ Robert A. Niblock  

Robert A. Niblock 

Director