Rookie left-hander Everett Teaford (1-0) pitched five scoreless innings, allowing three hits, walking one and striking out five to pick up his first big league victory in his first career start after 23 relief appearances.
Blake Wood took over in the seventh and tossed two hitless innings, retiring six straight, four on strikeouts.
Greg Holland gave up a two-out RBI double to Ichiro Suzuki in the eighth.
Joakim Soria pitched the ninth to pick up his 28th save in 35 opportunities.
The Royals are off Monday before opening a two-game series with the Twins.