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 one output port for all the users. The apparatus is provided with input ports (1.0∼1-(N-1)) for inputting a packet in a respective input port; buffer memories (3-0∼3-(n-1)) provided for each input port for temporary storage of a packet; an output signal transmission circuit (4) for retrieving a packet from each buffer memory in a specific sequence; an output port (2) for transmitting packets output from the output signal transmission circuit; and a retrieval sequencing section (10 or 20 or 30) 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.