Luol Deng was second in scoring with 22 points. He also grabbed seven rebounds.
The Bulls were in control for a majority of the game, leading the Cavs by 16 after the first quarter. Cleveland was able to cut the lead down to six late in the third quarter, but the Bulls held them off and held a nine-point lead going into the final quarter.
Both teams struggled in the final period, shooting under 40 percent.
Luol Deng's strong fourth quarter (11 points on 4-for-4 shooting) was enough to hold off any chance of a comeback by Cleveland.
This was another strong defensive performance by Chicago, who allowed 85 points on just 37 percent shooting. Joakim Noah (13 points, 15 rebounds) and Carlos Boozer (10 points, 12 rebounds) both contributed with double-doubles.
Kirk Hinrich also had an efficient game, shooting over 50 percent and tallying eight assists.
The offense was efficient as a whole, shooting 47 percent from the floor and were once again strong on the glass, winning the rebounding battle 45-41.
The Bulls' 15 turnovers is probably the biggest criticism I have in this game.
There's also the fourth-quarter struggles that the Bulls seem to have this season. Chicago shot 35 percent in the fourth quarter and were 0-for-5 from beyond the arc. They also had five turnovers in that period.
This was a big win for Chicago, as they have just one day of rest before starting another set of back-to-back games on Friday night with the Detroit Pistons, followed by the New York Knicks on Saturday night.
The Bulls' seesaw season continues as they are once again above .500 with a 9-8 record.