Based on the description of Compton scattering cross section by Klein-Nishina(K-N) formula and combining with Beer law, the probability of scattering distribution caused by each scattering point set in the object to all detector elements is calculated respectively, and the probability of scattering distribution caused by superimposing all scattering points is calculated. The total scattering distribution is obtained by adjustment of the coefficients. Finally, the scattering distribution is reduced from projection data, and the correction of scattering artifacts is achieved. The results from simulation and experimental show that the proposed method can significantly suppress the artifacts and shadows with shape of cup caused by scattering and improve the quality of reconstructed images.