This invention discloses an internal exhaust pipeassembly for a compressor and its operating method. The internal exhaust pipeassembly includes an internal exhaust pipe and a muffler box. The muffler box has an air inlet and an air outlet. The internal exhaust pipe includes a first pipe and a second pipe. The first pipe is connected to the cylinder seat muffler cavity and the air inlet, respectively. The second pipe is connected to the compressor exhaust pipe and the air outlet, respectively. The muffler box has a sound-absorbing structure. By implementing the internal exhaust pipe assembly of this invention, the noise and vibration performance of the compressor during operation can be improved, thereby enhancing the overall performance and reliability of the compressor.