The invention provides a multi-heat-source graded hot water supply system and a control method of the multi-heat-source graded hot water supply system. The multi-heat-source graded hot water supply system comprises a water storage device, a renewable energy source heating subsystem, an electric heating subsystem, a waste water waste heat recycling subsystem and a hot water outputting subsystem connected with the water storage device, wherein the renewable energy source heating subsystem, the electric heating subsystem and the waste water waste heat recycling subsystem provide heat for the water storage device. The water storage device comprises two or more hot water cavities. According to the multi-heat-source graded hot water supply system, the renewable energy source heating subsystem, the electric heating subsystem and the waste water waste heat recycling subsystem provide heat for the water storage device, so that water in different hot water cavities in the water storage device isheated to different temperatures, heat provided by a renewable energy source and waste heat stored by waste water are intensively utilized, so that the recycling problem of the waste heat of the waste water is solved, and electric power input is reduced; all the subsystems are mutually independent and are also organically combined into a whole, so that arrangement is flexible, and land and materials are saved; the energy resources are independent, and management is convenient; the multi-heat-source graded hot water supply system is compact and reduces energy consumption; the multi-heat-sourcegraded hot water supply system is adapted to load and improves the energy efficiency; and the multi-heat-source graded hot water supply system adopts modular production and is simple and clear in installation, safe, stable, economic and reliable.