Michael Kidd-Gilchrist contributed 16 points and eight rebounds as the Wildcats (22-1, 8-0 SEC) extended their home winning streak to 49 games.
Terrence Jones chipped in with 11 points and six rebounds for Kentucky, which rolled to its 14th straight victory overall.
Tennessee (10-12, 2-5) couldn't cope with the Wildcats' defense, managing to shoot just 28.1 percent from the floor.
Renaldo Woolridge led the Volunteers with 17 points.
Celebrity Families of 2014 [PHOTOS]