If Anderson makes the Dodgers' 40-man roster, he will receive a one-year, $550,000 deal which includes performance bonuses. The contract also includes a an out clause allowing Anderson to leave if he isn't in the majors on Opening Day.
A three-time All-Star, Anderson hit .268 with 13 homers and 61 RBIs with the Braves last season, his 16th in the majors.
Dodgers manager Joe Torre was a fan of Anderson's from their American League days.
Anderson, 37, will compete with Brian Giles and Doug Mientkiewicz for a spot as the Dodgers' fifth outfielder and left-handed pinch-hitter.