Abstract: The analytical calculation of local arbitrary buckling deformation under a local arbitrary non-uniform load is established by using an energy variational method which considers the elastic restraint of the flat part on the buckling region and its strain energy. On the basis of the principle of stationary potential energy, the critical conditions are obtained by searching the buckling region. The simulation calculation is developed by the ABAQUS finite element method (FEM) and the mode of local arbitrary buckling and critical conditions, which are verified by the analytical method, are obtained. Factors affecting the buckling critical conditions, such as the elastic restrained coefficient, the distance between the center of the buckling region and the free edge, the width of non-uniform load, and average tension are analyzed. Results show that the critical conditions of local arbitrary buckling are the same under the same initial conditions when the buckling region does not exceed the width of the strip.