It was constituted such that in a case when a function of the communication terminal apparatus 10 is limited in response to a wireless communication state between the communication terminal apparatus 10 and the wireless key apparatus 50, it is controlled in the wireless key apparatus 50 such that a communication connection with the communication terminal apparatus 10 is to be carried out; the function of the terminal apparatus 10 is to limited in the communication terminal apparatus 10 in a case when a predetermined communication state cannot be maintained with respect to the wireless key apparatus 50 and at the same time; and in a case when it is detected that the terminal apparatus 10 exists in a predetermined region such as in the vicinity of the apparatus 90 or the like, the function of the terminal apparatus 10 is not to be limited regardless of the communication state with respect to the wireless key apparatus 50. In this manner, low power consumption can be attempted in a case when a security process of a communication terminal apparatus such as a mobile telephone terminal is carried out by a wireless communication.