A combination wringer/bucket system uses a wringer consisting of a wringer basket and pressure plate, specifically configured to be mounted on the rim of the bucket, which itself is specially adapted to receive and support a separable, columar wringer basket support member. This member extends between the floor of the bucket and the basket and provides stability to the bucket mounted wringer. The support member can be removed from the bucket, as can the wringer, so that the bucket can be used alone, if desired. For providing additional stability to the wringer, leg components extend from the pressure plate, through the wringer basket. A cam operated system smoothly controls the movement of the pressure plate within the wringer, to efficiently and effectively wring out saturated mops.