Napier finished with 20 points, going 9-of-10 from the free throw line and hauling down six rebounds for UConn (10-1), which bounced back from a 53-51 loss to Stanford.
Ryan Boatright scored 16 points and Lasan Kromah added 14 with five steals off the bench.
C.J. Wilcox paced Washington (6-5) with 19 points.
Darin Johnson scored 13 points and Mike Anderson had 10 points and seven rebounds.
Aaron Carter is still in love with Hilary Duff
Ray Liotta sues skin care company over use of likeness