Abstract: This paper uses alternate method principle and complex variable function method of analytical mathematical to calculate the analytical expression of the hoop stress and radial stress around the roadways under the action of the pressure lane. And in the light of an example, through mathematica numerical software, pressure relief effect of hoop stress and radial stress around the roadway before and after pressure relief is described; the pressure relief effect of radial stress around roadway edge 0.8 m is not obvious, but good on deep surrounding rock. The pressure relief amount of hoop stress around roadway is big, which has good pressure relief affect on high hoop stress. So those roadways with high hoop stress choosing pressure relief lane method can achieve a good result.