Joseph Ignatius Power (January 11, 1885 – June 1, 1935) was a Canadian politician and ice hockey player, playing the left wing position for the Quebec Bulldogs from 1902 to 1911, and sitting in the Legislative Assembly of Quebec from 1927 until his death.

His father William Power was a member of Parliament in the House of Commons.

One brother William Gerard Power was a member of the Legislative Council of Quebec; another, Charles Gavan Power, played professional ice hockey and became a member of Parliament and later a senator; a third brother, James also played professional ice hockey.

Joe Power joined the Quebec Hockey Club organization in 1901, playing for their "Seconds" team in the CAHL intermediate division.

Power was also known for his quick wit and humour in the classroom which led to the nickname his teacher gave him, "Joe the joker".