The 94-87 win ends a six-game losing streak for the team, leaving the Celtics 5-10 so far this season.
The head coach told reporters: "We rallied and made big plays. [The Hawks] had a few possessions in a row where they missed some shots that they may normally hit, but sometimes when you play with the lead, it's harder to hit those shots.
"Our guys did a really good job of making some big plays. There were a lot of guys that scored in that fourth quarter for us.
"After [Jordan Crawford] made the first couple of moves the guys came back to the huddle and said 'put it in his hands'. Maybe it will be somebody else some other night, but tonight it was him."
The Celtics play again tomorrow when they visit the Charlotte Bobcats.