Based on the generalized nonlinear Schrdinger equation desiring pulse propagation in fiber,the supercontinuum generation in high nonlinear fiber pumped at the normal dispersion region was investigated.The results show that the pulse width,peak power and initial chirp of the pump pulse are very important to flat wideband supercontinuum generation. The supercontinuum generated in high nonlinear fiber with the normal dispersion,the effect of the third,fourth order dispersion even the higher-order dispersion on supercontinuum spectrum can be ignored,the self-steepening was effect on supercontinuum spectrum generation than other higher-order nonlinear effects. A broadband and flat supercontinuum is 400 nm at-20 dB,the spectral intensity fluctuation is 10 dB and without residual pump generated from high nonlinear fiber pumped at the normal dispersion region.