Abstract: Fractal characters and fractal dimension of time series created by repeller in one complicated system were studied and the time series were reconstructed by applying theory of phase space reconstruction for chaotic times series,for purpose of modeling and prediction of time series created by chaotic repellers.The influence of zero-mean treatment,Fourier filter on prediction for time series were studied.The choice of prediction sample affects the relative error and the prediction length which were also under good concern.Result shows the modeling and prediction model provided here is practical for time series created by chaotic repellers.Zero-mean treatment has changed prediction result quantitively for chaotic repeller sample data.But using Fourier filter may decrease the prediction precision.This is theoretical and practical for study on chaotic repeller of complicated system.