Image compression in medical image processing is a most significant technique which reduces the burden of storage and transmission time over the network with less degradation in the visual quality and without information loss. The image compression techniques are classified into lossy compression and lossless compression. Lossless image compression is important in the field of medical image application. Medical image processing is an idea to improve the quality of medical imaging like X-Rays, Computed Tomography (CT), Magnetic Resonance Imaging (MRI), Positron Emission Tomography (PET), Ultrasound, and Single Photon Emission Computed Tomography (SPECT). This shows visual representation of inner body structure. This paper describes various lossless compression techniques such as DWT,IWT,EZW, WDR, ASWDR, STW,SPIHT,JPEG2000, CALIC, LZW, RETINEX, DPCM, CREW, Vector Quantization, Huffman Coding, Arithmetic Coding, Run Length Coding Polynomial Approximation to achieve good compression ratio and the performance measurements such as CR,PSNR,MSE,SSIM, Normalized Cross Correlation, Normalized Absolute Error.