This paper presents a statistically multiplexing/re-multiplexing system for both uncompressed and pre-compressed digital video signals. The system consists of encoders and transcoders plus a joint rate control engine. Hence, it is able to handle both the uncompressed digital video signals and the pre-compressed video bit streams. Specifically, encoders encode the uncompressed video signals while transcoders transcode the pre-compressed video bit streams. The rate control engine dynamically distributes the channel capacity among the programs according to the program relative complexities. Computer simulation results are reported.