Saints said that the 25-year-old will require up to four weeks of rehabilitation.
"I'm sure George will be diligent in his rehab and we all wish him a swift recovery," Northampton Technical Coaching Consultant Alan Gaffney said on the club's website (www.northamptonsaints.co.uk).
North, who has 69 caps for Wales, is the latest to join a lengthy injury list for Warren Gatland's side, with the likes of Taulupe Faletau, Sam Warburton, Jonathan Davies and Dan Lydiate also sidelined.
Wales kick off their Six Nations campaign against Scotland on Feb. 3 in Cardiff.
(Reporting by Aditi Prakash in Bengaluru; Editing by Christian Radnedge)
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