Phoenix had the hot hand, shooting 42.9 percent from behind the arc and nearly 50 percent from the field for the evening.
Chicago didn't fare so well in its shooting. The Bulls managed just an 18.2 percent mark from behind the three-point line and just 36.4 percent from the field overall.
Suns forward Luis Scola led all scorers with 22 points. Center Marcin Gortat added eight points and a team-high 10 boards for Phoenix.
Carlos Boozer led all Bulls' scorers with just 15 points, although five Bulls ended in double-figures. Joakim Noah added a team-high 13 rebounds.
The biggest surprise of this one was Phoenix's success on the road. The team was 11-26 overall heading into this contest and just 1-17 on the road.
In fact, they lost 12 straight games on the road, having not won such a game since Nov. 27.
Chicago played in New York on Friday night and didn't give its best effort against the slumping Suns.
Player of the Game: Michael Beasley, Phoenix Suns
The Suns' reserve forward came off the bench and added 20 points and five rebounds in just 20 minutes of action. He did it with an efficient effort, shooting 10-of-14 from the field.
He also added one assist and block to a solid off-the-bench performance for the surprising Suns.
What's Next for the Suns?
Phoenix will have the odds stacked against them as they return home to the US Airways Center prior to Monday night's matchup against the Oklahoma City Thunder. Kevin Durant and the Thunder have won their last two games by 15 points or more.
What's Next for the Bulls?
Chicago will stay in the midwest and attempt to rebound against the Atlanta Hawks. The Hawks are coming to town on Monday night for an Eastern Conference clash.