It was the eighth consecutive win for the Indians and seventh straight loss for Chicago.
Raburn, Drew Stubbs and Carlos Santana each had three hits as the Indians pounded Chicago pitching for 14 hits. Most of the damage came against White Sox starter Chris Sale (6-11), who allowed five runs on 10 hits in five innings.
Justin Masterson (13-7) limited Chicago to five hit and three walks -- and the run -- over 6 2/3 innings. He struck out seven.
Mark Reynolds knocked in Santana in the second inning for the game's first run and Raburn sliced a ball to right field in the third that carried into the seats near the foul pole for a two-run home run and 3-0 lead.
Raburn added an RBI single and Asdrubal Cabrera had a sacrifice fly for the Indians in the fifth.
The White Sox got on the board in the sixth when Alejandro De Aza hit his 13th home run of the season.
Raburn connected for a long drive to left in the seventh for his 13th homer this year.