A multiprocessor system comprises a plurality of system controllers, each of which performs a snoop processing regarding a cache device in its charge. The system controllers adjust the number of steps of a snoop pipeline for the snoop processing according to communication time with the other system controllers. The number-of-steps adjustment absorbs the difference of the communication time in the results of the snoop for each scale of the multiprocessor system. When a retrial is determined by an address conflict or the like in the snoop processing, each of the system controllers resubmits the access to be retried to the snoop pipeline after waiting until no other access which may cause an address conflict precedes. The resubmission timing prevents infinite repetition of the retrial of the snoop processing in the system controllers.