Noah, who posted career highs with 30 points and 23 boards in the December meeting, finished with 10 points and 18 rebounds this time around. Jimmy Butler added 18 points and nine boards while starting a third straight game in place of Chicago's leading scorer, Luol Deng, who is dealing with a right hamstring injury.
Brandon Knight led Detroit with 13 points and seven assists. Kyle Singler had 12 points and made several big shots in the second half to quell potential Bulls runs.
"We have to match their energy for four quarters," Prince said. "We only did it for 3½ tonight and you see what happens.
"The last two or three times we have played them we had leads through three quarters. We should have had wins."
Detroit forced 15 turnovers and began the second half on an 8-0 run to extend its lead to 17, but couldn't seal its first regular-season win at the United Center since Feb. 24, 2006, a 13-game span. The last time the Pistons beat the Bulls at all was Dec. 23, 2008.
"We put ourselves into that position," Pistons coach Lawrence Frank said. "We were passing up open shots, and allowed mistakes to let them back in the game."
Detroit (16-26) fell to 4-15 on the road. The Pistons had won nine of 13 overall.
Turnovers and atrocious shooting put the Bulls in an early hole. Fourteen of their 15 turnovers came in the first three quarters.
Carlos Boozer scored eight of the Bulls' 14 first-quarter points as the rest of the team went a combined 2 for 15 from the floor. By halftime, Chicago had missed all 10 3-point attempts and only Boozer had made more than two field goals.
NOTES: Chicago finished 3 for 14 from 3-point range. ... Butler's 18-points, nine rebounds and four assists all tied career highs. He is averaging 15.3 points, 8.3 rebounds and almost 46 minutes per game in Deng's absence. ... Pistons rookie Andre Drummond had eight points and seven rebounds, four on the offensive glass. He ranks second in the NBA in offensive rebounding percentage with 16.3 percent.