In telemedicine, the storage of image and forwarding of image requires high storage space and high bandwidth respectively. To save the storage space and to reduce the bandwidth for communication; the image is to be compressed. Recently the Multi-resolution technique by wavelet transform has emerged as a cutting edge technology within the field of image analysis and compression. Relatively new class of wavelets called Multiwavelet; are new addition to the body of wavelet theory. Realizable as matrix --valued filter banks leading to wavelet basis, were introduced and which are able to posses all desirable properties like Orthogonality, Symmetry, and Short support etc. simultaneously, which are needed for better performance compression. In this paper we have proposed a heterogeneous wavelet filter approach for MRI image compression. The performance of the proposed method is compared and analyzed in detail and the promising results and findings are presented.