Abstract: Coal seam permeability is the one of the hotspots and difficult problems in the field of meathne flowing. Compared the previous research methods and results, we emphasize the stress, gas pressure and temperature and get the following conclusions: coal sample permeability is associated with the pores and changes of the fractures; the influence on coal samples caused by gas pressure exsits effective stress dominating stage, the matrix adsorption-desorption deformation dominating stage and Klinkenberg effect dominating stage; the permeability will decrease with the temperature increase at lower temperature but will be opposite at higher temperature. Through the summary and thinking about the above conclusions, we point out the scientific problems need to be solved and the trend of future development.