A connection device according to an aspect of the present invention is a server (104) which establishes a connection among a terminal (101), a terminal (102), and a terminal (103) for a multipoint conference in which media data is directly transmitted and received among the terminals (101 to 103), the connection device includes a caller information obtaining unit (202) and a callee information obtaining unit (203) which obtains media information of the terminals, a holding unit (204) which transmits, to the terminal (101), a first message for preventing the terminal (101) from starting a transmission of the media data to the terminal (102) and the terminal (103), when the media information of the terminal (102) and the terminal (103) is not obtained, and a communication starting unit (205) which transmits a second message (i) including the media information of the terminal (102) and (ii) for causing the terminal (101) to start transmitting the media data to the terminal (102), when the media information of the terminal (102) is obtained after the first message is transmitted.