Communication method, the relay server device, program, and recording medium

The first terminal device 10 is provided with a connection establishment request function not provided with connection standby function, in response to the sending the first connection establishment request information to the relay server device 30 having a connection standby function, first establishing a first connection between the terminal device 10 and the relay server device 30. Further, the second terminal device 20 having a connection establishment request function, in response to the sending the second connection establishment request information to the relay server apparatus 30, first between the second terminal 20 and the relay server device 30 to establish a 2 connection. Further, the identifier of the first terminal point information and the first terminal device 10 corresponding to the first connection associated with each other is stored in the storage unit 30g of the relay server device 30.