In a multi-processor system interconnecting processor units, memory units, and input/output units connected to input/output devices via a crossbar switch having a plurality of ports, the transmitter of each processor unit has a circuit for determining a destination of an access request in the following manner. For an access request to a main memory, the access request is transferred to all processor units and one memory unit storing the data to be accessed. For an access request to a memory mapped register of the input/output device, the access request is broadcast to all input/output units. For an access request to a memory mapped register belonging to any one of the processor units, memory units, and input/output units, the access request is broadcast to all units via the crossbar switch.