The team announced the move Friday.
The Blackhawks won the President's Trophy this year with 77 points in a lockout-shortened 48-game season.
They went on to beat the Boston Bruins in the Stanley Cup final.
With Quenneville at the helm, the Blackhawks have compiled a 222-106-44 record.
He holds a franchise-best .656 regular-season points percentage, while his .613 post-season winning percentage (46-29) is the highest for a Blackhawks coach since 1940.
Quenneville is the only head coach in franchise history to win two Stanley Cups.