The invention provides a heat pipe heat storage heat exchanger with number changes of communicating pipes. The heat exchanger comprises a gravity heat pipe, wherein the heat pipe comprises an evaporation end and a condensation end, the evaporation end is arranged in a heat accumulator, the heat accumulator is arranged in a heat source, and the condensation end is arranged in a container of a coldsource; the evaporation end comprises a plurality of end parts, and the plurality of communicating pipes are arranged between every two adjacent end part; and the number of the communicating pipes iscontinuously increased from the center of the heat accumulator to the direction of the outer wall of the heat accumulator. According to the heat pipe heat storage heat exchanger with the number changes of the communicating pipes, through the changes of the number of the communicating pipes, the pressure balance can be achieved as soon as possible in the fluid heating process.