The Tigers took a two-point lead with 10:52 remaining on a pair of free throws by Rob Chubb, but Kentucky outscored Auburn 23-6 the rest of the way.
Kentucky (16-1, 2-0 Southeastern Conference) won its eighth straight game and defeated Auburn for the 13th consecutive time.
Kentucky shot only 40 percent from the field, but forced 15 turnovers while committing just eight.
Chubb had 14 points and eight rebounds to pace Auburn (10-6, 0-2). The Tigers had won their previous 10 home games.