A design and implementation of an Image Compression System for Magnetic Resonance Images (MRI) is explored. During the initial phase of the project were explored different alternatives presented in the literature, finally the schema given by Saipetch e. al. was followed. The nature and formation of MRI was studied and an Object Oriented Design (OOD) of a compression system was performed. Even though in the final implementation is used a scalar quantizer, all the previous analysis and designs were made for a vector quantizer however due to the computational cost only could be implemented the scalar quantizer. As a final result a group of classes to implement a compression system was obtained and a Graphic user interface was built up on C++.