The Knick's Danilo Gallinari and Landry Fields made consecutive three-pointers in the final 1:18.
Amare Stoudemire scored 24 points for the Knicks and Gallinari impressed in the fourth quarter as New York contained Dwyane Wade after he was nearly perfect through 36 minutes.
Gallinari finished with 20 points and Fields added 19 points and 13 rebounds as the Knicks won their second straight after a six-game losing streak.
Wade scored 34 points and had 16 rebounds but missed all seven shots in the fourth quarter after he was 14 of 15 through three. James was seven of 24 for his 24 points.