The Houston Rockets have won NBA championships.
Houston Rockets . The Rockets have won two NBA championships and four Western Conference titles . Olajuwon-led Rockets went to the 1994 NBA Finals and won franchise 's first championship against Patrick Ewing and the New York Knicks . The following season , the Rockets reinforced by another All-Star , Clyde Drexler , repeated as champions as the sixth seed in the West and swept the Orlando Magic , led by a young Shaquille O'Neal and Penny Hardaway , in four games .