Darren Collison filled the stat sheet with 20 points, nine assists, six rebounds and two steals while Roy Hibbert added 15 points and nine rebounds for Indiana, which won its third straight game.
Kevin Love had a double-double with 21 points and 17 rebounds for Minnesota, which had won three of four coming in.
With the Pacers holding a 45-41 lead at halftime, Granger and Collison combined to score 28 of Indiana's 31 points in the third quarter. The visitors took a 76-70 advantage into the final stanza.
A 9-1 spurt to start the fourth, capped by Granger's layup, gave the Pacers an 85-71 lead with 9:13 remaining.
Hibbert's short jumper gave Indiana its largest lead of 17, 96-79, midway through the fourth and the Pacers cruised from there.
Love had a huge first quarter with eight points and nine rebounds as the Timberwolves took a 25-20 advantage into the second.
With the game tied at 34 with 4:56 left in the second stanza, the Pacers used an 11-4 run to take a 45-38 lead late in the half. Martell Webster nailed a three-pointer with 1.4 seconds remaining to make it a 45-41 game heading into the locker room.
George Hill missed Wednesday's game after suffering an ankle injury during Tuesday's win over the Nets...Ricky Rubio scored 10 points and dished out six assists for the Timberwolves...David West finished with 12 points and eight rebounds for Indiana.