Horford grabbed 10 rebounds and former Bull Kyle Korver put in 13 points as Atlanta secured the 100th Hawks win for Coach Larry Drew in 173 games at the helm.
Josh Smith supplied 12 points in the victory.
Chicago saw its two-game winning streak snapped as Luol Deng was limited to 11 points.
Joakim Noah added 10 points for the losers.
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