Attenuation of noise is a persistent problem in seismic exploration�� The authors use conventional de- noising method to remove noise which may cause vibration near the discontinuity called pseudo- Gibbs artifact�� In order to remove the artifact��the study proposed a method combining the seislet transform and total variation minimization�� Firstly��the data are converted into the seislet transform domain�� Secondly��the hard threshold was used for eliminating the noise and keep useful signal��which is the initial input for the next step�� Finally�� total variation minimization dealed with denoised data to recover boundary information and further eliminated the noise�� Synthetic data examples show that the method has feasibility in eliminating random noise and protecting detailed signal��and also shows better results than the classic f- x deconvolution�� The field data example also shows effective in practice�� It can remove the noise and preserve the discontinuity signal at the same time��