A mop head wringing mechanism comprises a first sleeve having a helical-shaped spline extending at least partially around an external face thereof and a second sleeve is slideably engaged over the first sleeve. The second sleeve has a spline engaging portion in constrained engagement with the helical-shaped spline of the first sleeve whereby translation of the second sleeve with respect to the first sleeve causes rotation of the second sleeve with respect to the first sleeve. A slip member is substantially constrained from lateral movement with respect to the second sleeve and is engaged with the second sleeve for enabling rotation of the second sleeve relative to the slip member. A control member is coupled to the slip member such that movement of the control member causes the second sleeve to translate from an at-rest position to a displaced position thereby rotating the second sleeve with respect to the first sleeve.