Abstract: The cylinder attachment to wring water out of mop is a frusto-conical shaped cylinder having a neck that is slidably attached to a mop handle. The neck has an adjustable knob that removably secures the cylinder in position at any point on the mop handle. The cylinder has an array of apertures in its lower wider portion for release of the mop water when the dirty water-laden mop head is compressed inside it. The cylinder has an O-ring about its bottom periphery to seal the cylinder and prevent the cylinder from scratching the floor. The cylinder has a wider portion above the O-ring to hold the mop strings in the cylinder when it is lifted from the pail. A specialized pail is provided for rinsing the mop by having a crescent-shaped tray with apertures on its bottom and a clamp on top to hold the mop inside the tray.