Russell came up in the next half-inning and smacked a 3-2 pitch from Jon Rauch (3-6) into the seats in the left field corner of Yankee Stadium for his second homer of the day.
His first clout, a two-run shot, came in the seventh and helped the Yankees cut into a 3-0 Mets lead. The Yanks went ahead in the eighth on four straight singles, including run-scoring hits from Marx Teixeira and Alex Rodriguez.
Boone Logan (1-0) earned the victory after quelling the Mets' ninth-inning rally.
Mets starter Jonathon Niese yielded only two unearned runs on seven hits over seven innings.
The Mets lost for the sixth time in seven games.
Notable deaths of 2014 [PHOTOS]