the stability of a multi-stage compressor in an extensive range of Reynolds number is estimated by using the method of estimating the maximum pressure rise potential.The results prove that the stability of compressors deteriorates with the decline of Reynolds number.The method used in this paper can analyse the pressure-rise potential and stability of each stage and the whole compressor as well in an extensive range of Reynolds number.It is envisaged to provide helpful information on the designing of the axial compressors working at low Reynolds number.