PURPOSE: To exert all the capacity of a processor by efficiently performing the communication between processors, regarding a computer system of a multiprocessor system.

CONSTITUTION: This system is provided with tables 1, 2, 3 for communication between tasks 10 to 12 corresponding to plural processors 1, 2, n and each processor and a task control/monitor controller 13 performing the control/ monitor of the tables for communication between tasks 10 to 12. The tables for communication between tasks 10 to 12 are provided with an area for monitor and alarm storing the information for the monitoring and alarm of each processor, an area for task transmission storing the transmission information of the task and an area for task reception storing the reception information of the task. The task control/monitor controller 13 has a constitution for controlling the information stored in the tables for communication between tasks 10 to 12, monitoring each processor and controlling the task communication between each processor.