Together, they have 19 national championships — more than any other two teams in the nation — 68 Sweet 16 appearances and two of the most recognizable arenas in college basketball.
"This is a big win for fans of college basketball in Southern California," UCLA Coach Steve Alford said in a statement.
The two teams will also meet this year in Chicago.
The addition of Kentucky for the next two seasons bolsters an already strong nonconference schedule. Next season, UCLA will play a deep field in the Maui Invitational. They Bruins also meet North Carolina at the
UCLA and Kentucky last played an on-campus game in Lexington, Ky., in 1961, before the construction of Rupp Arena. Kentucky also traveled to UCLA in 1959 when UCLA played at the Los Angeles Sports Arena.
Back then, UCLA had yet to win its first national championship.