Cabrera, bidding to become the first player in major league history to win the triple crown in two straight seasons, helped the Tigers to their fourth victory in six games.
It was the 41st homer of the year for Cabrera, who began the night trailing Baltimore's Chris Davis by six. Cabrera, however, leads the majors in RBI (126) and batting average (.359).
Matsuzaka (0-1) made his first start in the majors since last October while with the Boston Red Sox. He compiled a 50-37 record with the Red Sox over six seasons, but had only four victories during the last two years.
He went five innings Friday, giving up five runs on six hits.
Doug Fister (11-7) worked 6 1/3 innings to get the win, surrendering a run on eight hits.