The other four Chicago starters all scored more points than did Noah, but the five-year veteran produced a rare moment for the franchise. The Bulls said after the game it was the first triple-double for a Chicago center in at least 30 years.
Carlos Boozer led the Bulls in scoring with 20 points while Derrick Rose had 16 and Ronnie Brewer 15.
Chicago shot 54 percent from the field and claimed 49 rebounds to just 29 for the Bucks.
The Bulls have won two in a row and Milwaukee has dropped two straight. Brandon Jennings scored 20 points for the Bucks, who trailed by 22 early in the fourth quarter.