Yes there are hockey leagues. The major league is called "Ligue Magnus"
The National Hockey League (NHL) in French is League Nationale de Hockey (LNH).
The American Hockey League. (AHL)
The Quebec Junior AAA Hockey League is a Hockey Quebec Junior "AAA" ice hockey league and is a member of Hockey Canada and Canadian Junior Hockey League. A person must be a professional hockey player to join the Quebec Junior AAA Hockey League.
ECHL (East Coast Hockey League)
It is a league that has many different branches, theres a junior league, western hockey league, and so on, but the main league is the national hockey league which is composed of 30 teams.
Romanian Hockey League was created in 1924.
Malaysia Hockey League was created in 1987.
Austrian Hockey League was created in 1923.
Armenian Hockey League was created in 2000.
Champions Hockey League was created in 2008.
British Hockey League was created in 1982.
British Hockey League ended in 1996.