Kentucky honored Smith with a raised jersey in Rupp, but it wasn't very hospitable during the game.
Grady finished with 23 points. TyTy Washington had 15 points and nine assists for the Wildcats (11-2), and Oscar Tshiebwe finished with 15 points and eight rebounds.
Kentucky shot 58% from the field in the first and led 43-25 at the break. High Point closed to 47-34 on Zach Austin's 3-pointer with 17:14 left, but Grady responded with three more 3s to help the Wildcats pull away.
Austin and John-Michael Wright each had 12 points and six rebounds for High Point (6-8).
BIG PICTURE
Kentucky went 18 for 31 from 3-point range. Grady was 7 for 10, and Washington went 3 for 5. The starters left the game with about 10 minutes left, giving the Wildcats some rest.
UP NEXT
Kentucky faces a challenging SEC road opener on Tuesday at No. 16 LSU.