The 93-83 loss in Chicago was the 17th game that Kidd has missed this season. He has been sidelined by calf, back and groin injuries and has sat out three games to rest.
Jason Terry also took a seat alongside Kidd on Saturday night. Though Terry doesn't like to miss time, he said he and coach Rick Carlisle came to an understanding that it might be best to rest.
"It's cool," Terry said before Saturday's game. "Get some rest. I got a good workout in with J-Kidd, so it'll be all right."
Starting in Kidd's place, Rodrigue Beaubois finished with 16 points, six rebounds and five assists and played a team-high 38 minutes despite suffering a dislocated finger.
After leaving with about 7½ minutes to go in the first half after hurting his finger guarding Ronnie Brewer, he returned minutes later to the game with his fingers taped.
"Once they put the fingers together I said it's good enough to play," Beaubois said.
Beaubois played the entire second half with the injury and scored 10 points in the fourth quarter.
Terry said he'll play Thursday night in Atlanta against his former team. He said that was part of the decision in sitting out Saturday night against a Bulls team that will be playing to win to keep a hold on the No. 1 seed in the East.
Carlisle said it has yet to be determined whether Kidd would play in the Mavs' lone game next week or rest until the playoffs.
The Mavs sat Kidd for two games near the end of the regular season last year. He responded by playing a major role in the franchise's first championship run.
This has been the worst statistical year of Kidd's career. He's averaging career lows in points (6.4), assists (5.5) and rebounds (4.2). However, he has played his best basketball of the season since returning after a four-game layoff at the beginning of the month, when he rested and recovered from a strained right groin that had been nagging him all season.
"I feel great physically and mentally," Kidd said. "I feel fresh. I feel just like I did last year and hopefully we can have the same result."
ESPNDallas.com's Jeff Caplan and The Associated Press contributed to this report.