an interruption processing system in time division multiplex transmission system executes at a central control unit a group access for accessing in batch respective groups of a plurality of terminal units in response to at least part of superior bits of a specific address for one of the terminal units which requests an interruption , causes inferior bits of the address returned from the terminal unit requesting the interruption to the central unit , and allows the central control unit to specify the interruption requesting terminal unit on the basis of the superior and inferior bits of the address . extremely rapid specification of the interruption requesting terminal unit is thereby made achievable , and the operational response time of the transmission system can be shortened to a remarkable extent .