A complex home appliance and a method of controlling and installing the same. The complex home appliance includes a single power supply unit shared by two or more component home appliances of the complex home appliance. The two or more component home appliances are controlled by a single control unit of the complex home appliance. The complex home appliance can be operated in a simultaneous operation mode in which the two or more component home appliances are simultaneously operable, and an individual operation mode in which only one of the two or more component home appliances is operable. The complex home appliance includes a mode-setting unit to set the simultaneous or individual operation mode. The complex home appliance includes a power cut-off unit which supplies power to the single power supply unit and cuts off the supply of the power in response to being electrically opened at the time of an electrical overload.