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)
ECHL (East Coast Hockey League)
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.
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.
Premier Hockey League was created in 2005.
Minor Hockey League was created in 2009.
Bulgarian Hockey League was created in 1949.
United Hockey League was created in 1991.
Malaysia Hockey League was created in 1987.
Midwest Hockey League was created in 2008.
Icelandic Hockey League was created in 1991.