A multi-energy complementing heat pump heating system for the north of China in winter comprises a wind driven generator, an electric water heater, a tubular solar collector, a solar constant-temperature biogas digester, a gas storing device, a biogas hot water tank, a heat storage water tank, an air heat exchanger, stop valves and a high-temperature water tank. The multi-energy complementing heat pump heating system based on solar energy, wind energy, air energy and biogas energy is provided, the four clean and renewable energy sources are used for generating heat energy, heat is stored in hot water in the heat storage water tank, terrestrial heat is provided for families and factories in the north of China in cold winter, the multiple energy sources have complementary advantages, energy is saved, the environment is protected, efficiency is high, and the multi-energy complementing heat pump heating system can serve as a replacement scheme for a traditional floor heating system.