The communication management device includes a logical-ring configuring unit that determines a transmission order of a token frame in a network and configures a logical ring; a multicast-address generating unit that generates a multicast address from a MAC address of the communication management device; a multicast-address notifying unit that notifies a slave station configuring the logical ring of the multicast address; and a token-frame processing unit and a data-frame-communication processing unit that transmit a frame having a destination address to which the multicast address is set, and not performing a receiving process of a frame when a destination address of the received frame does not coincide with the multicast address.