A 6'9" power forward/center, Blount starred at the University of Cincinnati during the early 1990s, where he helped his team reach the Final Four in 1992 and the Elite Eight in 1993.

He was then selected by the Chicago Bulls with the 25th pick of the 1993 NBA draft, and he would spend 11 seasons in the league as a member of the Bulls (1993–1995; 2002–2004), the Los Angeles Lakers (1995–1999), the Cleveland Cavaliers (1999), the Phoenix Suns (1999–2001), the Golden State Warriors (2001), the Philadelphia 76ers (2001–2002), and the Toronto Raptors (2004).

Blount was arrested on December 5, 2008, for possession of 29 pounds of marijuana in the suburban Cincinnati, Ohio town of Hamilton.

Deputies also found another 7 pounds of marijuana and confiscated a 1996 Mercedes Benz, 2004 Cadillac Escalade, a 2000 Chevrolet Suburban, three guns and $29,500 in cash.

Blount was charged with felony drug possession and was released on $10,090 bond.