Reeves sank 8 of 12 shots from the floor, including 6 of 7 from 3-point range, and made all five of his free throws for the Wildcats (15-7, 6-3 Southeastern Conference). Tshiebwe finished with 14 points
and 11 rebounds for his 13th double-double of the season. Jacob Toppin pitched in with 18 points and four assists.
Ole Miss used its freshman guards to play Kentucky to a 32-all tie in the first half. Amaree Abram had 11 points and TJ Caldwell scored nine for the Rebels.
The duo combined to shoot 8 of 17 from the floor and both made a 3-pointer.
Kentucky's seniors — Reeves, Tshiebwe and Toppin — took over in the second half.
Neither team scored until Tshiebwe's three-point play at the 18-minute mark gave Kentucky the lead. Reeves scored the next eight points for the
Wildcats and they matched their biggest lead at 43-37 with 15 minutes left to play. Toppin scored six points in an 8-0 run and Kentucky took a 58-45 lead with eight minutes left to play.
Abram answered with back-to-back 3-pointers to get the Rebels within 58-51, but Reeves followed with two free throws and a 3-pointer to spark a 9-2 run and Kentucky wasn't threatened from there.
Abram finished with 17 points to lead the Rebels (9-13, 1-8), who have lost four straight. Caldwell added 12 points and reserve Jayveous McKinnis scored 10.
Kentucky and Mississippi have played 124 times. The Wildcats have won 110 of them.
Oscar Tshiebwe recorded his 13th double-double of the season, and the 53rd of his career, scoring 14 points and grabbing 11 rebounds on Tuesday. Jacob Toppin scored 18 points for the Cats in the win.
The Cats played without starting point guard Cason Wallace, who was out with a leg injury. In his place, Sahvir Wheeler returned to the starting lineup and the senior had a big game. He scored just four points but he dished out nine assists
Kentucky returns to action on Saturday, hosting Florida at Rupp Arena. Tipoff is set for 8:30 and the game can be seen on ESPN.