Jared Sullinger had 19 points and 10 rebounds for Boston. The Celtics improved to 17-33, winning their second straight game after losing 19 of 22.
Rajon Rondo added eight points, 11 assists and nine rebounds to help Boston improve to 2-6 since he returned from a serious knee injury. Brandon Bass had 18 points for the Celtics.
Thaddeus Young had 20 points, and Tony Wroten added 18 for Philadelphia. The 76ers (15-35) have lost four straight and 14 of their last 17 games. They also have lost six in a row at home for the first time since the 1996-97 season.
Spencer Hawes added 13 points and 13 rebounds for Philadelphia and Lavoy Allen had 10 points and 10 rebounds.
Green scored 13 straight points during a 2-minute stretch in the third quarter, capped by a 3-pointer that gave the Celtics their biggest lead to that point, 83-71 with 3:44 left.
Wroten made a 58-footer at the buzzer to cut it to 88-82 entering the fourth.
Philadelphia got as close as three points in the final quarter on Wroten's two free throws with 8:35 left but never got closer. The Sixers had a chance to get it to two points, but Evan Turner missed a baseline jumper with 1:13 left, and Sullinger converted a three-point play on the ensuing possession off an from Rondo with 59.4 seconds left to give Boston a 112-105 advantage.
The Sixers haven't won since last Wednesday's buzzer-beating 95-94 win at Boston.
Notes: Philadelphia guard Michael Carter-Williams was selected the Eastern Conference Rookie of the Month for January. It was the second honor for Carter-Williams, who also was recognized in November to join Allen Iverson as the only Sixers to earn the award multiple times. Carter-Williams averaged 16.5 points, 5.6 rebounds and 5.6 assists last month. ... Sixers guard James Anderson (back contusion) left in the first half but returned after halftime. ... After matching a season worst with 26 turnovers Monday night in a 108-102 loss at Brooklyn, the Sixers committed 16 against Boston. Philadelphia entered averaging an NBA-worst 17.4 turnovers.