Griffin (14-9) ran his personal winning streak to four consecutive starts. He walked one and struck out eight.
Griffin retired the first 10 batters he faced -- striking out six -- before giving up a hit. He had a string of nine consecutive batters retired before Oswaldo Arcia hit a home run with two out in the seventh. It was the only run Griffin allowed.
The A's were up 6-0 before the Arcia home run, however, getting to Twins starter Scott Diamond (5-11) for five runs (four earned) and six hits in 4 2/3 innings.
Yoenis Cespedes had a two-run triple to cap a four-run Oakland rally in the third inning. Josh Donaldson had an RBI single in the fifth and Josh Reddick delivered a sacrifice fly an inning later that put the A's up 6-0.
Reddick hit a two-run home run in the eighth off Jared Burton.
The Twins got three hits, with Alex Preseley contributing an RBI single, in the eighth off reliever Dan Otero.
Celebrity Families of 2014 [PHOTOS]