The invention provides a heat pump system and a heating system. The heat pump system comprises a ground source heat pump, an energy storage part and a heat supply part. The ground source heat pump comprises a first heat exchanger and a second heat exchanger; the second heat exchanger is the heat exchanger for releasing heat; the energy storage part comprises energy storage materials for storing heat and is connected with the second heat exchanger; the heat supply part comprises a heat application unit and a third heat exchanger; and the third heat exchanger is connected with the energy storage part. According to the heat pump system provided by the invention, the ground source heat pump converts electric energy into heat energy for the heat application unit, the energy storage part is also arranged between the heat pump and the heat application unit and can store part of heat when the heat pump works, and when the heat pump stops, the heat application unit can acquire the stored heat from the energy storage part, so that not only can the reliability in heat supply of the heat pump system be improved, but also a heat generation and supply strategy can be flexibly designated, and an energy-saving effect is achieved.