The method of split-step Fourier was used to investigate the property propagation of ultrashort pulse and then analyse the new propagation property in negative refractive media.The results show that the ultrashort pulse would be narrow in the normal dispersion if the parameter of second-order nonlinear dispersion was less than zero,and the effects of its was gradually changing with the propagation distance getting smaller and smaller,and the pulse would be width if the parameter of fake-quintic nonlinearity was less than zero,but the effects of its was smaller than second-order nonlinear dispersion,and the self-steepening value can be negative,positive which contributed to the center of the pulse that can shift between the leading edge and trailing edge.