AbstractOne of the features of satellite communications is broadcasting ability (multiple address communication). Since a satellite has lengthy transmission delay, transmission errors at each link accumulate and the number of retransmissions increases, resulting in decrease in throughput efficiency if a one‐to‐one transmission control procedure (such as HDLC) is applied to a multiple address communication. This research proposes a multiple address communication system via a satellite link. In this system, information sequence is divided intoNblocks based on the Chinese Remainder Theorem and theNblocks are sent with the SREJ (selective reject) procedure. At a receiving station the original information sequence can be restored with at leastK(N)received frames. Therefore, the number of frames re‐sent from a transmitting station decreases and a decrease in throughput efficiency is prevented. The transmission characteristics of the proposed system are examined under the assumption that an ideal SREJ procedure is used. As a result, it is revealed that the proposed multiple address communication system can achieve higher throughput efficiency than the iterations of individual one‐to‐one comm