The finite element simulation method is used to study the buckling of circular corrugated cylindrical shell under uniform external pressure and the influence of the amplitude of the wave on the buckling. First of all,one ordinary cylindrical pressure shell and two circumferential sine corrugated cylindrical pressure shells are designed to analyze the linear buckling of the ideal cylindrical shell and observe the influence of the amplitude of the wave on the buckling of the cylindrical shell; then,in order to verify the reliability of the linear buckling anal. of the ideal cylindrical shell,the nonlinear buckling anal. of the real corrugated cylindrical shell is required. The linear buckling anal. of the ideal corrugated cylindrical shell is consistent with the nonlinear buckling anal. of the real corrugated cylindrical shell. It shows that with the increase of the amplitude of the corrugation,the ability of the cylindrical shell to resist the buckling deformation increases,and the linear buckling mode of the ideal corrugated cylindrical shell is consistent with that of the real corrugated cylindrical shell.