With the global proliferation of the Internet and digitalization transforming how information is shared, there has been exponential growth in the transmission of multimedia content fueled by advancing communication technologies. In recent times, Digital Imaging and Communications in Medicine (DICOM) medical imaging has become critical for disease diagnosis. Given that these images are often transmitted across networks, ensuring their robust protection has become imperative. Unauthorized access or misuse of the data within these images could potentially result in serious consequences. Various approaches exist for safeguarding such images, with encryption emerging as a highly effective method. Encryption algorithms typically involve two key phases: confusion and diffusion. This paper suggested proposed encryption technique designed specifically for encrypting both gray-scale and color DICOM medical images. Several assessment criteria, including the Number of Changing Pixel Rate (NPCR), Unified Averaged Changed Intensity (UACI), average entropy, correlation coefficients, Structural Similarity (SSIM), Feature Similarity (FSIM), and Peak Signal-to-Noise Ratio (PSNR), are employed to evaluate the suggested cryptosystem. These evaluations vividly underscore the robust security performance exhibited by the proposed approach.