Digital watermarking has an essential application to safeguard and authenticate the medical images. The reversible method is a best suitable method for watermarking with security of medical image as compared with other watermarking method. Conceal image dependent embedding capability and lacks of robustness are the most essential concerns of the reversible watermarking methods. To overcome these issues, a reversible technique with a robust watermarking method is proposed. A reversible technique is basically dedicated to deal with medical images in which is pretty easy to partition the complete medical image into two regions like an anatomical object (Region of Interest) and the black surroundings area behind the object (Non Region of Interest). The proposed reversible watermarking scheme has also been simulated and experimented to validate the robustness property against numerous image processing attacks and acceptable outcomes are achieved. The MATLAB simulation results show that the proposed algorithm generates excellent performances in the embedding capability and the PSNR values. The performance of proposed reversible technique with robust watermarking algorithm has been compared to those presented by the conventional algorithm in terms of the embedding part against the PSNR, MSE and SSM values of the watermarked image.