A replicated data processing method and apparatus for a distributed processing system are provided in which a plurality of processors are connected to one another through a common transmission line. The processors perform processes using replicated data produced by resources such as files replicated in respective processors. Any processor issues an access request and broadcasts the request to the common transmission line. User's program of the processor is initiated by a first-received data in response to the request, and checks matching between the first-received data of the replicated data and the subsequently received data to repeat a retry processing for the request until a mismatch is removed.