The Tigers struck in the first inning with two runs and erased the hopes of Boston rookie LHP Brian Johnson throwing another complete game shutout.
Nick Castellanos belted a solo homer and Justin Upton had an RBI single to give the Tigers a 2-0 lead.
Castellanos, who's batting second, belted the first pitch he saw to the right center field seats for a 1-0 Detroit lead.
With two outs in the inning, Victor Martinez and J.D. Martinez hit back-to-back singles, then Upton followed with another single.
Castellanos and Upton each have recorded a hit in eight straight games.