The Warriors (20-10, 9-7 Big West) were 24 of 34 from the line—15 of 18 in the final 4:01.
Garrett Nevels drilled a 3-pointer and Christian Standhardinger added the first of two free throws as Hawaii fashioned a nine-point lead at the half, 44-35.
The Titans battled back to take the lead at 65-64, but Standhardinger started the run of free throws by hitting a pair to put Hawaii in the lead for good, 66-65.
Isaac Fotu finished with 18 points to lead Hawaii, with Standhardinger adding 17. Shamberger added 14 points, all from the free-throw line.
Marquis Horne had 18 points to lead the Titans (11-19, 6-10), with Michael Williams and Josh Gentry each adding 17.