High Definition Television (HDTV) promises to offer wide-screen, much better quality pictures as compared to the today's television. However, without compression a digital HDTV channel may cost up to one Gbits/sec transmission bandwidth. We suggest a parallel processing structure using the proposed international standard for visual telephony (CCITT P×64 kbs standard) as processing elements, to compress the digital HDTV pictures. The basic idea is to partition an HDTV picture into smaller sub-pictures and then compress each sub-picture using a CCITT P×64kbs coder, which is cost-effective, by today's technology, only on small size pictures. Since each sub-picture is processed by an independent coder, without coordination these coded sub-pictures may have unequal picture quality. To maintain a uniform quality HDTV picture, the following two issues are studied: (1) sub-channel control strategy (bits allocated to each sub-picture), and (2) quantization and buffer control strategy for individual sub-picture coder. Algorithms to resolve the above problems and their computer simulations are presented.