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. Along with sister ships CGS Curlew, and CGS Petrel, Constance was fitted with mine sweeping gear in 1912.