We point out in this paper that for the superconducting crossed-film tunneling junction, the tunneling electrical current must raise the temperature in the junction area and also produce a nonomogeneous self-induced magnetic field simutaneously. It causes the superconducting film to transform into intermediate state. By means of this physical model we not only can explain the hysterisis in I-V curves of nonequilibrium superconducting Pb films and the existance of thresheid current I(t3) revealed in previous experiments, but also predict the existance of the hysterisis, a strange phenomenon, in the usual tunneling I-V curves.