Durant, coming off a career-high 54 points in Friday's win over Golden State, added nine assists, six rebounds and four steals as the Thunder notched a third straight victory.
He is averaging an NBA-best 36.1 points during January, picking up the slack for the injured Russell Westbrook (knee surgery).
Isaiah Thomas poured in a career-high 38 points for the Kings.
DeMarcus Cousins had a double-double of 16 and 14 rebounds.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys