The invention relates to a gas storage and heat storage integrated hot dry rock reheating compressed air energy storage system. The gas storage and heat storage integrated hot dry rock reheating compressed air energy storage system comprises a plurality of compressors and a plurality of expansion units, wherein the compressors are connected with a motor through couplings; the adjacent compressors are connected with one another through heat accumulators; the last-stage compressor is connected with an inlet of an underground gas storage well group; an outlet of the underground gas storage well group is connected with the first expansion unit; the first expansion unit is connected with a gas flow inlet of a heat exchanger through a heat accumulator; a gas flow outlet of the heat exchanger is connected with the second expansion unit; a working medium inlet and a working medium outlet of the heat exchanger are connected with a hot dry rock heat collecting system through pipes to form a circulation loop; the heat exchanger and the hot dry rock heat collecting system form a reheating system; when the number of the expansion units is greater than 2, reheating systems are separately arranged among the adjacent expansion units behind the first expansion unit. Heat of interstage cooling of the compressors is recycled in a compression stage, air of interstage reheating is preheated in an energy releasing stage, heat loss of the system is reduced effectively, and the efficiency of the system is improved.