The Clippers moved up from the third-best chance to earn the top pick for the third time, earning the right to draft All-America forward Blake Griffin, of Oklahoma, the national college player of the year.
Memphis vaulted to second and Oklahoma City will pick third.
Sacramento, which had the best chance to win the lottery after finishing with a league-worst 17-65 record, fell to fourth, and Washington dropped from second to No. 5.
Atlanta will pick 19th.