The 6-foot-7 junior, who also had eight rebounds, had 21 in the first half as the Buckeyes (3-0) built at 10-point lead and cruised through the second half.
Aaron Craft added 18 points for the Buckeyes, who beat Rhode Island on Saturday.
C.J. Wilcox led Washington (2-2) with 18 points and Abdul Gaddy had 15. The Huskies earned the right to play Ohio State with an overtime win Saturday night over Seton Hall.
This is the same tournament that Kentucky won last season in an early test for that young team, which won the national title.