Having got through the five-Test series against India, Broad missed the One-Day and Twenty20 International series that followed in order to have the operation.
"The ECB medical team today confirmed that England and Nottinghamshire bowler Stuart Broad has undergone an operation on his right patella tendon," a statement confirmed.
"Broad will begin a rehabilitation and recovery programme ahead of the tri series against Australia and India early next year."
Prior was less fortunate, and pulled out of the final three Tests struggling with the achilles problem as well as knee and hand injuries.
"England and Sussex wicket keeper Matt Prior has undergone surgery on his left achilles and will begin a rehabilitation and recovery programme with England and Sussex over the winter period," the statement added.
Both will now prepare for a programme of recovery and rehabilitation.
Broad is aiming to be fit enough to play in a One-Day International tri-series in Australia ahead of the 2015 World Cup while Prior's goal is to return to action in time to earn a spot on England's Test tour to the West Indies in April.
© Cricket World 2014