Mike Woodson's bunch came out playing inspired ball on the offensive end early on, converting on 8-of-16 threes midway through the second quarter and led by 10 at halftime.
However, the Hawks fought back and outscored the Knicks by 13 points in the third quarter, cutting the deficit to three after three quarters of play.
Then it was Anthony and the Knicks' turn to counter punch, as they delivered their best frame of the night, totaling 30 points in the game's final quarter.
Anthony led the Knicks with 25 points on 9-of-25 shooting and J.R. Smith contributed 12 points and seven rebounds as Mike Woodson's starting shooting guard, but it was Andrea Bargnani who stole the show.
Although his defense was shaky throughout, Bargnani came up with timely buckets down the stretch, totaling 20 points (8-of-15 shooting, 2-of-4 from three) and 11 rebounds in the win.
Four of the Knicks' five starters finished in double-figures, with Iman Shumpert (five points) the lone exception. However, Shumpert did make major contributions, leading the Knicks with nine dimes and four steals.
For the Hawks, it was all about Al Horford and Jeff Teague. The duo led a fierce comeback in the third quarter, but couldn't come up with clutch buckets in the fourth to propel the Hawks to victory.
Horford finished with 23 points on 11-of-14 shooting while Teague led the Hawks with 25 points and eight assists.
Fifty-six of the Hawks' 91 points came in the paint.