The surgery was successful, the team said, and Span is expected to be ready in time for spring training.
Span tweeted a photo of himself after his surgery.
Span, 30, batted .302 and tied for the National League with 184 hits for the NL East champion Nationals in 2014. He also stole 31 bases in 38 attempts and received two MVP votes.
Span has been the Nationals' starting centerfielder since being acquired in a trade with the Twins prior to the 2013 season. He can become a free agent after next season.
- Jack Jorgensen