Durant helped the Thunder erase a 12-point deficit in the fourth quarter, then sank the tying and go-ahead free throws in the final minute of overtime as Oklahoma City notched a fourth straight victory.
The Thunder won despite the ejection of Russell Westbrook, who was sent off the court with 3:19 remaining in regulation after being cited for a second technical foul.
Bradley Beal netted six 3-pointers en route to a career-high 34 points for the Wizards.
Washington's John Wall, who was held to just 10 points, missed a potential go-ahead layup at the final buzzer.
Notable deaths of 2014 [PHOTOS]