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A new thresholding function is proposed for image denoising in the wavelet domain. The new threshold function has the same characteristic of continuity with the soft-thresholding function, and also overcomes the defects of constant bias between the estimate of the wavelet coefficients and wavelet decomposition in the soft-thresholding function, the thresholding function effects are considered simultaneously. The simulation results show that the proposed thresholding function has superior features compared to conventional methods when used with an improved thresholding function. It also shows that using the new threshold function for image denoising inherits the advantages of the hard and soft threshold function. This makes it an efficient method in image denoising applications, it can also remove the noise and retain the image details better.