Electronic apparatus and wireless communication method to connect the electronic apparatus and terminal device to same access point

An electronic apparatus includes a wireless communication section configured to perform wireless communication, a storing section configured to store identification information of a terminal device to which the wireless communication section has an achievement of connection through a network, and a processing section configured to perform communication control for the wireless communication section. The processing section performs searching processing for external access points, performs second searching processing for searching for the terminal device corresponding to the identification information stored in the storing section in a network formed by the external access points found by the searching processing, and causes the wireless communication section to connect to the external access point to which the terminal device found by the second searching processing is connected.