The Red Sox outfielder underwent successful Tommy John surgery on his left (throwing) elbow Thursday in Pensacola, Fla. Dr. James Andrews performed the procedure.
"We expect Carl to make a full recovery," the team said in a statement.
The decision to send Crawford for surgery was officially announced Monday, with the Red Sox teetering below .500. He missed most of the season because of the torn ulnar collateral ligament, and, earlier in the year, a surgically repaired left wrist.
In his second year with the Sox, Crawford finished with a .282 average, 10 doubles, three homers, 19 RBIs and five stolen bases in 31 games. The time he played with the Sox, he played in progressively worsening pain.
"I think it became clear over the last few days that surgery was going to happen, it was just a question of when," general manager Ben Cherington said Monday. "We felt like after talking about it more this weekend and with Carl, the right thing to do was to get it taken care of now. Give Carl credit. He played through the injury and played pretty well. But the symptoms, it wasn't getting better. The symptoms were getting worse. We just decided not to ask him to keep going out there. We decided to take care of it now and he agreed with that."