Los Angeles made 10 of the first 11 shots it attempted from beyond the arc and wound up hitting 13-of-21 from long range.
Redick made four of the 3-pointers while scoring 18 points.
Griffin hit 11-of-18 from the field and added 13 rebounds and seven assists. Jamal Crawford pitched in 19 points off the bench for the Clippers, who have gone 7-3 since losing Chris Paul to a shoulder injury.
The Clippers scored 41 points in the opening period while taking a 15-point lead. Seven of the 3-pointers came in the first quarter, during which Los Angeles made 73 percent of its shots.
Carlos Boozer scored 22 points for Chicago, which had won three in a row.