The Calgary Tigers, often nicknamed the Bengals, were an ice hockey team based in Calgary, Alberta, Canada from 1920 until 1927 as members of the Big-4 League, Western Canada Hockey League and Prairie Hockey League. The Tigers were revived in 1932, playing for a short-lived four years in the North Western Hockey League. They played their games at the Victoria Arena.

The Big-4 League was a top level senior ice hockey league that operated in Calgary and Edmonton, Alberta for two seasons between 1919 and 1921. Created with the intention of competing for the Allan Cup senior-amateur championship, the league's existence was marred by accusations that its teams were secretly paying their players. The Big-4 lost its amateur status after its first season and operated as an independent league until further accusations of the use of ineligible players led to its collapse in 1921. Two of its teams, the Calgary Tigers and Edmonton Eskimos went on to form the professional Western Canada Hockey League.