Keyla Snowed added 13 points and A'dia Mathies had 12 for the Wildcats (17-4, 7-2 Southeastern Conference).
Tierney Jenkins had 27 points and 11 rebounds to lead Alabama (11-11, 0-9).
With the game tied at 56 midway through the second half, Kentucky went on a 17-5 run to take control of the game. Alabama could only get within eight the rest of the game.
The Crimson Tide played their final game in Coleman Coliseum, where they had played since 1975. The Crimson Tide's next home game on Feb. 13 against Florida, will be played in Foster Auditorium.