Durant, who also recorded five assists, drained 4-of-4 free throws down the stretch to ice the win for the Thunder, who took a third straight overall.
Russell Westbrook hit a reverse layup with 1:40 left in the game to turn back an Atlanta rally, finishing with 14 points with 11 assists.
Serge Ibaka grabbed 10 rebounds to go with 19 points.
Paul Millsap had 23 points and 12 rebounds for Atlanta, which had its two-game winning streak snapped.
Swim Week Miami Beach 2014 [PHOTOS]