Since the traditional wavelet threshold functions have some drawbacks such as the non-continuity on the points of threshold, and large deviation of estimated wavelet coefficient, distortion and Gibbs phenomenon occur after denoising. To overcome these drawbacks, an improved threshold function was proposed. Compared with the hard, soft threshold functions and the existing improved threshold function, the proposed function not only is easy to be calculated, but also has the superior mathematical characteristics.To verify its advantages, a series of simulation experiments were performed, the Peak Signal-to-Noise Ratio (PSNR) and Mean Squared Error (MSE) values were compared with other different denoising methods.The experimental results indicate that it is better than above mentioned denoising methods in both the visual effects and the performance of PSNR and MSE.