The surgery was performed by Dr. James Andrews, the noted Birmingham, Ala.-based surgeon.
"Subsequent evaluations toward the end of the season by our staff and Dr. Andrews also confirmed that Matt had been making good progress with his rehab. But after Matt's most recent visit to Dr. Andrews, it was determined by Dr. Andrews that Matt's healing process could be enhanced by undergoing surgery at this time."
The No. 1 overall pick in the 2009 NFL Draft played in just three games this season, passing for 535 yards and six touchdowns with only one interception.
"While continuing the rehab program (without surgery) was still a viable option, Matt decided to have the surgery now in order to ensure that he will have plenty of time to recover and rehab prior to the 2011 season. We have full confidence that Matt will be one-hundred percent before the start of training camp."
Stafford threw for 2,267 yards, 13 touchdowns and 20 interceptions in his 2009 rookie campaign.
The Associated Press contributed to this report.