Brase sank three 3-pointers in the first period and went 6 of 10 from the field overall. T.J. Bray added 15 points with nine rebounds and three steals and Spencer Weisz came off the bench to score nine with three rebounds.
Both teams struggled from the field throughout the contest with the Tigers (4-1) hitting 38.5 percent and Bucknell with 35.7 percent. Princeton led 30-27 at the break and was able to keep the Bison at bay during much of the second period.
With 6:12 left on the clock, Bray hit a pair of 3-pointers in three minutes to help extend the Princeton lead to 12.
The Tigers have now won four straight.
Chris Hass led the Bison (3-4) with 15 points, five rebounds and a pair of assists.