Chris Paul added a team-high 26 points for Los Angeles, which took a fifth straight win overall and a seventh consecutive triumph at home.
Thanks to the compressed schedule of the lockout-shortened season, the Clippers became the first NBA team since 1966-67 to play 20 games in a single month -- they finished March with an 11-9 record.
Randy Foye added 17 in the Los Angeles win.
The Jazz dropped a third straight despite 26 points from Al Jefferson.
Paul Millsap chipped in 18 for Utah.