The game was chippy and ragged from the start, with both teams talking trash and officials whistling 24 fouls in the first half. A late 3-pointer by 6-foot-10 forward Josh Harrellson stemmed a late Cleveland State run and gave Kentucky a 35-27 lead at the break.
Kentucky (5-0) took control early in the second half when freshman forward DeMarcus Cousins hit a 3 as the shot clock expired, then made five free throws on one possession, aided by an intentional foul called on D'Aundray Brown for grabbing Wall and pulling him to the floor on a breakaway.
By the time Cleveland State (3-2) called a timeout with 13:08 remaining, Kentucky had outscored the Vikings 18-4 in the second half to open a 22-point advantage.
Cousins was whistled for an technical foul for throwing an intentional elbow at Cleveland State's Jared Cunningham with 3:25 remaining after an official warned Cunningham for shoving Cousins in the back seconds earlier.
Kentucky won despite preseason All-American Patrick Patterson finishing with only nine points and five rebounds, both well below his season averages of 19 points and 12.3 rebounds. Patterson played only one minute in the second half but did not appear to have an injury.
Cleveland State was led by Brown's 10 points. Cousins added 14 points and seven rebounds for Kentucky.
CLEVELAND ST. (3-2): Cunningham 4-13 0-2 9, Brown 4-7 2-2 10, Pogue 1-4 1-3 3, Harmon 2-9 0-0 5, Cole 3-11 1-2 8, James 0-0 2-2 2, Anderson 0-0 0-0 0, Montgomery 3-12 2-2 10, Woods 0-0 0-0 0, McCoy 0-2 0-0 0, Ajere 0-4 0-0 0, Kamczyc 0-2 2-2 2, Latas 0-0 0-0 0. Totals 17-64 10-15 49.
KENTUCKY (5-0): Miller 3-7 2-2 9, Wall 3-5 9-10 15, Cousins 5-11 3-6 14, Bledsoe 2-4 2-2 7, Patterson 3-5 3-6 9, Hood 1-1 0-0 3, Harris 1-2 0-1 2, Krebs 0-0 0-0 0, Stevenson 0-0 3-4 3, Orton 2-4 2-4 6, Harrellson 2-3 0-0 5. Totals 22-42 24-35 73.
Halftime_Kentucky 35-27. 3-Point Goals_Cleveland St. 5-26 (Montgomery 2-6, Cole 1-4, Cunningham 1-7, Harmon 1-7, McCoy 0-1, Brown 0-1), Kentucky 5-11 (Hood 1-1, Cousins 1-1, Harrellson 1-1, Bledsoe 1-2, Miller 1-3, Harris 0-1, Orton 0-1, Wall 0-1). Fouled Out_Pogue. Rebounds_Cleveland St. 28 (Brown 5), Kentucky 48 (Harris, Miller 8). Assists_Cleveland St. 7 (Cole 3), Kentucky 15 (Wall 6). Total Fouls_Cleveland St. 25, Kentucky 18. A_832.