The Hawks have lost a season-high four straight overall. They fell behind big early, trailing by 25 points during the second quarter.
Atlanta cut its deficit to eight with 8:47 left in the fourth on Mike Scott's 3-pointer, but Chicago answered with the next six points.
"I think the second half is what we expect from our group, what we expect of each other, and the challenges to find a way to play that way for 48 minutes," Hawks coach Mike Budenholzer said.
The first half clearly wasn't.
Noah, who was presented his All-Star jersey before the game by Bulls general manager Gar Forman, had six points, six rebounds and six assists during the opening quarter.
He ended the first half with seven points, 11 rebounds, and eight assists for the Bulls, who led 58-39 after coming home from a 3-3 trip.
"Usually when you come back from a West Coast trip like that you exhale," Noah said. "Nobody exhaled. We played hard and it was a good win for us."
Coming off a 79-76 loss to Memphis, in which the Hawks held the Grizzlies to an NBA-record low one free throw, Atlanta's offense woke up too late. The Hawks shot 43.8 for the game after making 40 percent in the first half.
All-star forward Paul Millsap had 15 for the Hawks but his streak of four games with at least 10 rebounds was snapped as he had two. Lou Williams added 13 points, and Jeff Teague had 12.
"We just have to stay together," Millsap said. "Get back to playing our style of basketball. We feel like we have not played at our pace in the last few games."
Kyle Korver extended his NBA record streak of at least one 3-pointer to 119 games with a shot 15 seconds into the second quarter. Korver hasn't gone without one since Nov. 2, 2012, against Houston.