Abstract: An incinerator with a heat-storage capability is disclosed. The incinerator has a housing with multiple communicating chambers defined therein, heat-storing medium received in each chamber, a heater mounted in the housing, an inlet tube and an outlet tube connecting to all of the chambers respectively, a control valve mounted between the inlet tube or outlet tube and each corresponding chamber and an air pump mounted on the outlet tube. The incinerator can deal with the industrial waste steam by the medium in alternate chambers one after the other, and the medium can absorb the heat generated by burning the volatile organic material in the industrial waste steam. This can increase the thermal efficiency of the incinerator and decrease cost of operating the incinerator.