Collison scored 19 points while making eight of nine shots from the field and Miles added a season-high 16 as the Jayhawks extended their longest winning streak since taking 10 in a row from Dec. 12-Jan. 27 of last season.
The Jayhawks scored the first 10 points of the second half to open a 45-29 lead. Ed Persia hit a three-pointer for the Tigers' first points, 5 1/2 minutes into the period.
But after Persia hit another shot from beyond the arc to make it 45-35, Kansas went on a 13-2 run, capped by a pair of free throws from Miles at the 9:33 mark. Princeton got no closer than 15 points thereafter.
Drew Gooden added 15 points for Kansas (7-1), which improved to 9-0 all-time against Ivy League opponents. In their only other matchup, the Jayhawks defeated the Tigers, 82-67, on Dec. 22, 1999.
Reserve Will Venable scored 11 points to lead the Tigers. Reserve Judson Wallace added 10 points, all in the second half, for Princeton (2-4).
Kansas stormed to a 31-12 lead after 12 minutes, but Princeton's Ray Robins scored seven points during a 17-4 run that closed the half. Persia hit a three-pointer from beyond NBA range at the buzzer to end the period and pull Princeton within 35-29.