Abstract: A packet multiplexing apparatus is presented for multiplexing packets to be transmitted from a number of user facilities to a local service node in such a way to assure equal access to the output port for all the users. The apparatus is provided with input ports for inputting a packet in a respective input port; a buffer memory provided for each input port for temporary storage of a packet; an output signal transmission circuit for retrieving a packet from each buffer memory in a specific sequence; an output port for transmitting packets output from the output signal transmission circuit; and a retrieval sequencing section for controlling the specific sequence by changing a retrieving order of packets from buffer memories for each complete round of packet retrieval so that a frequency of the retrieving order for each input port is uniformly shared by the input ports.