Based on the method of mathematics and physics, the mathematical model of gas storage vessel leakage is improved. The improved mathematical model can better simulate the leakage at anytime, And we gets some results that (1) the function of leakage of quantity, intensity and gas pressure with the variable t, (2) the more correct the mathematical model for the gas storage vessel leakage, and (3) on the analysis of the affected actors of gas storage vessel leakage, the risk order of the factors is the area of the leakage hole, gas initial temperature, and pressure storage vessel.