A dialogue system and a speech dialogue operation method are provided. In the system, an inquiry speech signal is generated according to data for specific person and is transferred to a receiver. In response to the inquiry speech signal, a reply speech signal is generated by the receiver, and after the reply speech signal is recognized, a speech correspondence signal is obtained. A ID recognition procedure is performed according to the speech correspondence signal, and a dialogue control signal is generated according to the result of the ID recognition procedure, and accordingly, a response speech signal is generated and transferred to the receiver to continue or terminate the dialogue. When the receiver is recognized to be matched with the specific person, a message delivering procedure is performed to deliver a message to be transferred to the specific person to the receiver.