Attenuation compensation, which corrects the attenuation and dispersion of seismic waves, is one of the effective methods for improving seismic data resolution. In general, the attenuation compensation is achieved by an inverse Q-filter based on wave field continuation. In this paper, using the Futterman attenuation model, a method to compute synthetic seismogram is derived for an attenuation medium. Based on the synthetic method,the attenuation compensation problem is reduced to an inversion problem of the Fredholm integral equation and can be achieved by inversion. The Tikhonov regularization is used to improve inversion stability. The processing results of numerical simulation and real data show the effectiveness of the method.