Description Available in: The Cleveland Monsters are a professional ice hockey team in the American Hockey League (AHL). The team began play in 2007 as the Lake Erie Monsters and since 2015 has served as the top affiliate of the Columbus Blue Jackets of the National Hockey League (NHL). The Monsters play home games at Rocket Mortgage FieldHouse in downtown Cleveland and have one Calder Cup championship, after winning their first title in 2016.