Green launched the ball over LeBron James to put the Celtics ahead for the first time since the start of the third quarter, after Gerald Wallace had brought Boston back into contention with a layup moments earlier.
Paul George led the team as they edged ahead in the third quarter to beat the Nets by five points, giving the Pacers their seventh win from seven games.
Dirk Nowitzki and Monta Ellis led the charge in the first quarter, as the Mavericks opened up a 15-point lead by the end of the opening 12 minutes.
The Bucks fought back in the third quarter, but Nowitzki and Gal Mekel made sure that Dallas held on, restoring their lead in the fourth.
The home side looked to be opening up a comfortable lead in the third quarter, but Kyle O'Quin and Andrew Nicholson led the Orlando fightback, before Jeff Teague ensured that the Hawks pulled away again in the fourth.
Tyler Hansbrough led the team with a season-high 23 points to leave the Jazz without a win so far this season.
The home side needed a last-gasp effort from Kyrie Irving, who finished the game with 39 points, to clinch the win, having overturned a 10-point deficit from the start of the fourth quarter.
The home side, who lost by 13 points to the Blazers on Friday, finished the game strongly to reduce the visitors' lead, but it was not enough to prevent the loss.
Stephen Curry tried to start a Warriors comeback, leading the team in points and assists, but the visitors struggled to match their opponents' pace.
Results in full: Utah Jazz 91-115 Toronto Raptors, Orlando Magic 94-104 Atlanta Hawks, Indiana Pacers 96-91 Brooklyn Nets, Philadelphia 76ers 125-127 Cleveland Cavaliers, Boston Celtic 111-110 Miami Heat, Los Angeles Clippers 107-94 Houston Rockets, Golden State Warriors 90-108 Memphis Grizzlies, Dallas Mavericks 91-83 Milwaukee Bucks, Portland Trail Blazers 96-85 Sacramento Kings