The Bulls have defeated the Cavaliers in 10 straight meetings.
Belinelli scored 23 points with Luol Deng contributing 22 for the Bulls, who outscored Cleveland 27-11 in the opening period. The Cavaliers came no closer than eight the rest of the way.
With Richard Hamilton out of action due to a foot injury, Belinelli got the start and went 7-of-15 from the field.
Cleveland's Anderson Varejao had 11 points and 15 rebounds for his 10th straight double-double.
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