Milwaukee landed right-handed pitcher Bowdien “Buddy” Derby and catcher Jacob Nottingham in the deal.
MORE: Fantasy Source: Key players on new teams
Davis, 28, batted .247/.323/.505 with 27 home runs and 66 RBIs in 121 games last season. In 2014, his first full season in the bigs, he belted 22 homers in 144 games.
MORE: Top 50 fantasy prospects
The addition of Davis will likely move Coco Crisp back to center field in a platoon with Billy Burns or into a fourth-outfielder role.
Derby, 21, posted a 1.21 ERA in 37 1/3 innings last season between rookie and Single-A ball. Nottingham, 20, batted .316/.372/.505 with 17 home runs and 82 RBIs between three Single-A clubs last year.