Labissiere was drafted No. 28 overall in Thursday night's draft, following UK teammate Jamal Murray, who went No. 7 to the Denver Nuggets.
The pick originally belonged to the Phoenix Suns, who reportedly have a deal in place to send Labissiere to Sacramento. The Kings now have four former Cats in their organization, including All-Star center DeMarcus Cousins, Willie Cauley-Stein and Rajon Rondo.
He is the 21st player selected out of Kentucky in the first round since head coach John Calipari arrived in Lexington prior to the 2009-10 season.
The 6-foot-11, 225-pound center/forward averaged 6.6 points, 3.3 rebounds and 1.6 blocked shots per game for the Wildcats. He shot 52 percent from the field.
Labissiere had a career-high 26 points against NJIT on Nov. 14 before hitting a midseason rut which caused his draft stock to drop. He recovered with a solid finish to the season, including an 18-point, nine-rebound, six-block performance on March 5 against LSU and eventual No. 1 pick Ben Simmons. He also had six blocked shots in UK's NCAA Tournament win over Stony Brook, tying for the second most in school postseason history.