HMCS Constance was a commissioned minesweeper of the Royal Canadian Navy (RCN) during the First World War. Originally built as a fisheries cruiser for the Department of Marine and Fisheries, upon completion she was transferred to the Department of Customs, and was used by the Customs Preventive Service. Constance spent the entire war as a patrol and examination vessel on the East Coast of Canada. Following the war, the vessel was sold in 1924.