There is no particular qualification in knee surgery itself. Most surgeons specialising in knee surgery are qualified in general orthopaedic surgery, and have gravititated towards specialising in knees.
Fellowships
In a superspeciality like this, it is highly regarded to do a 'fellowship' of one or two years with a mentor or orthopaedic unit specialising in knee surgery. Fellows often travel to other parts of the world to join a specialist unit like that.
Board certification
In the USA a superspecialist is likely to have Board Certification in addition to having been involved in one or more Fellowships. Other countries may have superspecialist degrees of various kinds, eg in the UK there is Fellowship of the Royal College of Surgeons (FRCS).
CLINICAL PUBLICATIONS
Fellowship exit examination in orthopaedic surgery in the commonwealth countries of Australia, UK, South Africa and Canada. Are they comparable and equivalent? A perspective on the requirements for medical migration. Hohmanna E and Tetsworth K. Med Educ Online. 2018; 23(1): 1537429.