Jackson also contributed five assists with four steals while A.J. Walton and Isaiah Austin donated 11 points apiece as the Bears (5-2) improved to 1-7 all-time against Kentucky.
Cory Jefferson and Brady Heslip chipped in with 10 points each for Baylor, which avenged a loss to the Wildcats in the 2012 NCAA Tournament's Elite Eight.
Kentucky (4-3), meanwhile, lost again after falling to Notre Dame Thursday.
Archie Goodwin supplied 17 points, six rebounds and five assists for the Wildcats.