Zach Randolph had 21 points and 14 rebounds, and Wilson Chandler added 15 points and eight rebounds for New York, which has lost nine of 10.
Dunleavy has scored 36 points four times this season, including the first meeting with the Knicks this season. He has scored 30 or more five times in his past 13 games, and the Pacers are 7-1 this season when he reaches that total.
The Pacers held the Knicks to 37 percent shooting and held an opponent under 100 points for the first time since the All-Star break.
Indiana is 3-0 against New York this season and has averaged 111 points in those games.
The Pacers started the day three games out of the eighth playoff spot in the Eastern Conference, and 12 of their final 15 games are against teams with sub-.500 records.
Indiana led 60-56 at halftime, but Chandler's 3-pointer tied the game at 68 midway through the third quarter. The Knicks took a 72-70 lead on a putback by Chandler.
Dunleavy scored nine points in the final 2:35 of the quarter to help the Pacers lead 81-79 at the end of the period.
Granger scored nine points during a 14-5 run that gave the Pacers a 98-89 lead.
Minutes later, Dunleavy provided the play of the game. While driving through traffic to the hoop, he wrapped the ball behind his back and threw up a left-handed floater from the baseline that dropped to give Indiana a 102-91 lead. The basket gave Dunleavy the points to match his career high. He had chance to set a new career mark, but he shot an airball in the final minute.
