The Bulls put up little resistance in the middle contest of a three-game road trip, falling behind by 29 points in the first half.
Sacramento ended the first period on a 23-6 run on its way to its first win over Chicago in six tries.
Evans finished with 26 points and Isaiah Thomas had 22 for the Kings. Sacramento shot 54 percent from the field and held the Bulls to 38 percent.
Carlos Boozer led Chicago with 21 points in what was the Bulls' fifth consecutive road loss.