The Alberta capital, which hosted the 1978 Commonwealth Games, will be up against Durban, South Africa.
Dr. Andrew Pipe, president of Commonwealth Games Canada, said Edmonton is the logical choice.
"Canada is the birthplace of the Commonwealth Games, with the British Empire Games held in Hamilton in 1930," Pipe said in a statement.
The British Empire Games were the first of what came to be known as the Commonwealth Games.
Both cities advised the Commonwealth Games Federation of their intentions Monday. Formal bid proposals are due in March 2015. CGF members will formally consider the bids at the Federation's General Assembly in Auckland, N.Z., in September 2015.
Canada has hosted the Games four times, with Vancouver playing host in 1954 and Victoria in 1994.
Glasgow won the bid for this summer's Games, beating Abuja, Nigeria in voting 47-24. Gold Coast, Australia beat Hambantota, Sri Lanka in bidding for the 2018 Games by a vote of 71-27.
The Games have never been held in Africa.
Edmonton hosted the World University Games in 1983, the 2001 world track and field championships, the 2005 World Masters Games and the 2006 Women's Rugby World Cup.