This paper is based on Medical image sequence compression. In this paper, the author has compared two lossless compression techniques, viz. Set Partitioning in Hierarchical Tree (SPIHT) and Spatial Orientation Tree Wavelet (STW) with Block matching algorithms, Diamond Search (DS) and Adaptive Rood Pattern Search (ARPS). Every day large amount of medical videos are created by pathology labs and image diagnostic centers and in order to store these videos, large amount of memory space is required. To reduce this memory space, he has performed compression, in such a way that the picture quality of the video is maintained. This paper is based on comparisons between SPIHT+DS and STW+ARPS. Both techniques are compared in terms of Compression ratio, Peak Signal to Noise Ratio, and Time. The STW+ARPS gave better result compared to SPIHT+DS. STW+ARPS executed the whole process within 193 seconds. ARPS is the fastest Block matching algorithm with a better picture quality.