The invention provides a movable heat storage and discharge device based on pulsating heat pipes and a heat storage and discharge method thereof. The heat storage and discharge device comprises a shell, a heating chamber, a phase-change material chamber, a cooling chamber and the pulsating heat pipes, wherein the heating chamber, the phase-change material chamber, the cooling chamber and the pulsating heat pipe are all arranged in the shell; the heating chamber, the phase-change material chamber and the cooling chamber are separated by stainless steel partitions; at least one group of pulsating heat pipes pass through the partitions and are arranged in the shell; the parts, which are arranged in the heating chamber and the cooling chamber, of the pulsating heat pipes include straight pipe sections and elbows, and the parts, which are arranged in the phase-change material chamber, of the pulsating heat pipes are straight pipe sections; the parts, which are arranged in the heating chamber, of the pulsating heat pipes are evaporating sections, the parts, which are arranged in the phase-change material chamber, of the pulsating heat pipes are insulation sections, and the parts, which are arranged in the cooling chamber, of the pulsating heat pipes are condensation sections; and fluid inlets and outlets are formed in one end of the cooling chamber and the heating chamber. Phase-change heat transfer of working media in the pulsating heat pipes and phase-change heat storage of phase-change materials are used, so that waste heat is absorbed, stored, transferred and released, thereby effectively recycling the waste heat.