An IC card (processing terminal) divides a process into process blocks, and holds a time period required for processing each process block. A receiver (receiving terminal) notifies the IC card of a time period which can be spent for processing non-real-time process data when causing the IC card to perform the processing. The IC card processes the process blocks which can be processed within the notified time period. After the processing, the IC card once sends a response back to the receiver, and then transitions into a state in which it can receive a new request. Accordingly, it becomes possible for the IC card to process real-time process data such as an ECM. In the case where the receiver continues the suspended processing, it notifies the IC card of the continuation of the processing so that it causes the IC card to continue the processing of non-real-time process data.