Cueto (7-2) scattered seven hits over seven innings, walking two and striking out four to bounce back from a tough 1-0 loss to Seattle's Cliff Lee in his previous outing.
Nick Masset blanked the A's in the eighth and Francisco Cordero picked up his 19th save with a scoreless ninth to give the Reds a three-game sweep in their inter-league series at Oakland Coliseum.
Jay Bruce hit a two-run single in the first inning and Jonny Gomes added an RBI double for Cincinnati.
Oakland's Vin Mazzaro (2-2) absorbed the tough-luck loss, yielding a pair of runs on six hits in seven innings.
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