The conductivity of biological tissues can be potentially used for a cancer diagnostic. Thus, imaging conductivity is useful for clinical applications. Here, we developed a conductivity imaging method based on the gradient conductivity imaging method by incorporating information from anatomical MR images. The characteristic of the defined prior was extracting the structure information and guided the conductivity reconstruction. To evaluate the performance of the proposed method, the electromagnetic field and magnitude images were simulated for a cylindrical phantom and brain model. The results demonstrated that the proposed method preserves more details of the conductivity images and mitigates the noise affection.