Abstract-To adjust to the development of dynamic prediction of oil and gas reservoir, exploration of subtle reservoir, exploration and development of thin interbeds, processed seismic profiles are required to be of high signal to noise ratio, high resolution and high fidelity. While the time-varying wavelet in seismic data is an important factor affecting the quality of seismic profiles, for the purpose of improving the effects of seismic data processing, the influence law of wavelet time-varying nature is necessarily to be analyzed and researched, so that the timevarying wavelet can be suppressed based on more targeted methods. In the paper, the formation mechanism of time-varying nature is studied, and the influence law of time-varying wavelet is analyzed in detail, which is different in various links of seismic data processing, including amplitude compensation, pre-stack deconvolution, post-stack deconvolution and migration. Meanwhile the methods and application effects for suppressing wavelet time-varying nature in every link are summarized, and the advantages and disadvantages of these approaches are concluded through analysis and comparison, so that the development direction of researching more effective methods for suppressing or eliminating wavelet time-varying nature in the future is pointed out.