The Tigers have won four games in a row and 19 straight Ivy League matchups at home. The streak is the longest for Princeton (9-7, 2-0) since the program won 26 straight from 1996-99.
Leading 35-30 at intermission, Princeton outshot the Big Red in the second half 61.5 percent (16 of 26) to 34.8 percent (8 of 23).
Cornell, which led by nine points early in the game before Princeton surged ahead, closed the deficit to 41-40 with 17:10 remaining. The Tigers then scored 15 unanswered points to pull away for good.
Will Barrett added 15 points for Princeton.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.