The Jazz lost their third in a row and seventh in the last nine games.
"We can't make any mistakes against them, especially on their home floor because they make you pay for it," Jefferson said.
Crawford keyed a 10-5 run to open the fourth, highlighted by a 3-pointer and a fast break pull-up jumper that helped the Clippers extend their lead to 89-81. Paul and Griffin didn't join the second unit until 5:55 remained and Utah had closed within four on a basket by Favors.
That was as close as the Jazz got. The Clippers made 9 of 10 free throws down the stretch and their defense held Utah to one field goal in the final 3:38.
"It was a grind-it-out game, nothing pretty about it," Crawford said. "We got us a nice thing going and we got to keep it going."
Los Angeles stretched its lead to 71-59 in the third quarter, when Butler scored 10 of their first 17 points.
From there, the Jazz closed on a 17-8 run to pull to 79-76 going into the fourth. Utah briefly took its first lead since early in the game when Jefferson scored over Lamar Odom, but the Jazz committed two costly turnovers in the final 49 seconds.
Paul got fouled and made both free throws, and then Matt Barnes stole the ball from Jamaal Tinsley and fed Paul on the break. He missed but Crawford was there to tip it in and restore the Clippers' lead.
"We haven't been playing our best basketball the last few games," Utah coach Tyrone Corbin said. "We're playing hard, but we've got to be a little smarter and not make the kind of mistakes we made down the stretch."
The Clippers shot 62 percent en route to a 54-45 halftime lead, with Butler scoring 17 points in the first quarter. Utah led briefly to start the game when Jefferson scored eight of their first 13 points.
NOTES: Los Angeles improved to 11-3 at home. ... The Jazz fell to 6-13 on the road. ... Clippers F Ronny Turiaf says his right elbow is "messed up." He said he hurt it a couple games ago when he felt discomfort while boxing out. ... Odom's ankle is bothering him. ... The Clippers haven't lost since Nov. 26 at home against New Orleans.