The long-expected move was made official Wednesday. Wilson is eligible to come off the DL on April 6. He led the majors with 48 saves last season.
San Francisco manager Bruce Bochy said there was no reason to rush his injured closer back for opening day. Wilson strained muscle on his left side March 17. He already has been back throwing bullpen sessions.
The Giants also designated Travis Ishikawa on assignment. Promising prospect Brandon Belt made the 25-man roster and will start at first base for the Giants when they open at the Los Angeles Dodgers on Thursday. Aubrey Huff will move to right field.