In this study, recently proposed diffusion tensor magnetic resonance electrical impedance tomography (DT-MREIT) is compared with magnetic resonance conductivity tensor imaging (MRCTI) using simulated measurements generated by means of a finite element model. Both methods are used to reconstruct conductivity tensor images of an anisotropic conductivity distribution. In DT-MREIT, extra cellular conductivity and diffusivity ratio (ECDR) is recovered from its transverse gradient. In MRCTI, the conductivity tensor is reconstructed from two current profiles by using anisotropic Bz sensitivity (ABzS) method with a stronger regularization. Reconstructed conductivity images suggest that MRCTI provides better accuracy than DT-MREIT, at lower SNR levels.