[Problems to be Solved]It is an object to provide a wireless system and a control method of the wireless system capable of determining whether a beacon transmission function is accepted.[Solution]A wireless system of the present invention includes a first wireless terminal including wide area wireless communication means connecting to an external network, and first narrow area wireless communication means having a beacon transmission function for transmitting a beacon for communication control, and a second wireless terminal including second narrow area wireless communication means capable of communicating with the first narrow area wireless communication means, wherein the second wireless terminal connects to the external network via the second narrow area wireless communication means, the first narrow area wireless communication means, and the wide area wireless communication means, and when the first narrow area wireless communication means receives, from the second narrow area wireless communication means, a request signal for requesting the beacon transmission function to be transited to the second narrow area wireless communication means, the first narrow area wireless communication means transits the beacon transmission function to the second narrow area wireless communication means.