Abstract: Based on the study of soft-and-hard threshold processing method of wavelet coefficients in wavelet threshold denoising ,an improved threshold function with neighbor dependency based on lifting wavelet-domain is proposed.Firstly,the principle of lifting wavelet threshold de-noising is introduced.Then the structure of the new threshold function is analysed, and the correlative characteristics of wavelet coefficients are utilized effectively in the new function.That is,the neighboring wavelet coefficients are incorporated into the estimation of wavelet coefficients.At the same time,de-noising threshold value is determined by the improved method.Finally,simulation experiment is carried out and signal-to-noise ratio(SNR) is used as the evaluation standard of the de-noising results.Simulation results indicate that the proposed de-noising method based on the new threshold function can effectively suppress the pseudo-Gibbs phenomena near the singularities of the signal and produce better de-noising results.