Noah collected 19 points, 16 rebounds and 11 assists, while Taj Gibson added 24 points and 12 boards as the Bulls made it three wins from their last four matches.
Former Bull Luol Deng had 22 points as the Cleveland Cavaliers recorded a 109-99 win over the Sacramento Kings, their third win in a row.
Number one draft pick Anthony Bennett had 19 points and 10 rebounds.
Al Jefferson's 30 points helped the Charlotte Bobcats to a 114-89 win over the Dallas Mavericks, only their second win against the Texas team in 19 attempts.
Anthony Tolliver added 22 points as he made five-of-six from three-point range.
Nick Calathes and Marc Gasol came up with 18 points apiece as the Memphis Grizzlies beat the Washington Wizards, despite a huge 37-point effort from Washington's Bradley Beal.
LeBron James also got 37 points but he ended up a winner as the Miami Heat saw off the Phoenix Suns 103-97.
James had 14 points in the fourth quarter as Miami pulled away, overcoming the absence of Dwyane Wade who had a migraine.
Kevin Durant's 36 points and 10 rebounds helped the Oklahoma City Thunder to a 98-95 win over the Portland Trail Blazers, the 14th win in the last 16 for the Western Conference leaders.
Alex Burks brought 24 points off the bench to help the Utah Jazz to a 96-79 victory over the Los Angeles Lakers, who suffered a franchise record-equalling sixth straight home loss.