Griffin averaged 30.3 points and 12.0 rebounds in his first four career games against Chicago. The only team he has better numbers against is the New York Knicks (31.1 ppg).
Griffin had 26 points and 10 rebounds in his team's 101-80 win over Chicago on Nov. 17 in Los Angeles.
Joakim Noah finished with 10 points and 11 rebounds. It marked the first time the Bulls have lost when both Noah and Boozer have double-doubles (8-1).
Luol Deng was held to just eight points, his lowest output since a seven-point performance in Chicago's season opener.
He and Noah committed four turnovers apiece. Chicago turned the ball over 16 times.
"We can't put that team in transition," Noah said. "The turnovers hurt us."
Defense ruled early as both teams struggled out of the chute. Los Angeles missed its first six field-goal attempts before Caron Butler finally knocked down a jumper more than 3 minutes in. Chicago fared little better, starting 1 of 10 from the floor.
The Bulls had to go to the bench after two fouls were called on Kirk Hinrich in the first quarter, but Nate Robinson and Taj Gibson provided a spark in relief.
Robinson knocked down a pair of 3s to help Chicago keep pace, and Gibson's jumper midway through the second quarter gave the Bulls their first lead since the opening minutes.
Gibson scored eight of his 10 points in the second quarter.
Jamal Crawford, the NBA's leading bench scorer, finished with 10 points for Los Angeles. They all came in the second after being tripped by Robinson, who was called for a flagrant foul.
NOTES: Clippers coach Vinny Del Negro said it was "a little bit" surprising that Griffin's player of the week award, announced Monday, was his first such honor since entering the league in 2010. "Those things happen when you win," Del Negro said. "You get recognized for winning, and I think Blake is most pleased with that." ... Clippers F Grant Hill (right knee bone bruise) "felt pretty good" after running on Monday, according to Del Negro. Hill will continue to run every other day, but there is still no timetable for his return. ... Hinrich (left elbow) was able to start after missing the second half of Saturday's win against New York. "It says a lot about his toughness," Thibodeau said. "I don't measure him statistically. I measure by how he's running the team, how he's leading our defense."