Abstract: Tube of X-ray CT system emitting a polychromatic spectrum of photons leads to beam hardening artifacts such as cupping and streaks, while the metal implants in the imaged object results in metal artifacts in reconstructed images. The simultaneous emergence of various types of image artifacts certainly will degrade the diagnostic accuracy in clinics, and so should be deeply researched for suppressing them. In this paper, data consistency condition is exploited to construct an objective function. Nonlinear least square and alterative iteration algorithms are used to solve the optimal scaling factors. Finally, an optimal bone correction approach is acquired to simultaneously correct for cupping, streaks and metal artifacts. Experimental result acquired by a computer simulation demonstrates that the proposed approach can really adaptively determine the optimal scaling factors, and then correct for various types of image artifacts at the same time.