A tap attached to one end of a water pipe or a connecting pipe of a water dispenser, and controlling the flow of water or liquid by opening and closing an outlet by the operation of a handle actuated by the leverage, the tap including a body having a shaft with a compression spring, connected to a packing used for opening and closing the outlet, and a lid serving to support a support point when turning or, or off the tap; a push handle mounted on the upper portion of the body and having a shaft connecting boss coupled to the front end of the shaft, a downward rotation stopper, an upward rotation stopper, a push portion, and a race formed on its middle; and an auxiliary handle inserted into the race of the push handle and varying the support point of the push handle according to its two-stage operation, thus controlling the opening/closing of the packing with safety.