Quick-install three-way pipe connector with a valve body, a lower pipe assembly and a switching element. The valve body has a fitting opening, a water inlet and a lower pipe orifice; the lower pipe assembly has an on-flow pipe and a counter-flow pipe; the upper ends of the on-flow and counter-flow pipes pass through the lower pipe orifice and fix inside the valve body by an upper connector; the switching element fixes on the lower end of the on-flow and counter-flow and has a lower water outlet; the fitting opening has an upper cover sealing a water inlet cavity. The water path includes: water in-flow from a support arm joint flowing sequentially through the water inlet, the on-flow pipe, the switching element, the counter-flow pipe and the water outlet. This is simple and quick to assemble, and avoids welding a threaded part on the counter-current pipe, thus saving costs.