In the nonlinear structural analysis, several indefinite and non-physical parameters are required to solve nonlinear simulaneous equations. It is no clear how to set those parameters. In this reason easy and distinct method are needed. In this study the minimum residual quantities method which is hased on the arc-length controlling method is proposed_ Automatic arc-length setting method, which can be automatically determined with reference to change of curvature of load-displacements curve, is proposed.