Denoising of MR (Magnetic Resonance) images is one of the crucial tasks in the field of medicine as it is often corrupted by Rician noise which exhibits a signal dependent behaviour at different SNR. Due to the biased nature of Rician noise, it is a challenging task to attenuate Rician noise from MR images. In this paper, we analyse the basic and effective MRI denoising techniques. Also, we have proposed a two-stage denoising procedure which has a strong potential to remove Rician noise from MR images effectively. The efficacy of proposed two-stage MRI denoising method is analysed through qualitative and quantitative measures and it is observed that the performance of the proposed two-stage denoising procedure is superior to single-stage MRI denoising methods.