Dunlap also had five assists for the Wildcats (18-4, 7-2 Southeastern Conference) and now sits in second place on the school's all-time rebound list.
Kentucky used an early 19-2 run to take control and went ahead by as many as 17 in the first half. The Tigers (13-9, 6-3) opened the second half with a 7-0 run but were unable to overcome losing the rebounding battle, 44-28, and 28 turnovers.
Brittany Henderson scored a career-high 13 points for the Wildcats, shooting 5 of 9 from the field, and added seven rebounds.
Blanche Alverson led Auburn with 12 points.
Kentucky, which has won seven straight SEC games, plays No. 4 Tennessee on Monday.