A motorized shower water diverter valve for a handheld shower is connected to a shower water inlet pipe in lieu of a conventional showerhead. A conventional showerhead is then connected to one of two valve outlets and a hose for the handheld shower is connected to the other valve outlet. The valve may be constructed as a rotary or linear type. A motor output shaft is coupled to a gear assembly to either rotate a valve core of a rotary valve or laterally displace the core of a linear valve. The gear assembly may include a slip clutch. There is also provided a control circuit for operating the motor, a wireless remote control and a sensor for enabling the control circuit to detect the position of the valve core.