A method of establishing connection between a first mobile station (MS)
and a second MS in a mobile communication system is disclosed. More
specifically, the method includes transmitting to at least one base
station (BS) a service message which includes information of at least one
service type supported by the first MS and the second MS. Here the at
least one service type relates to a multimedia service supported by each
of the first MS and the second MS. Furthermore, the method includes
transmitting a request message which includes information of at least one
service type selected by the first MS, receiving a response message which
includes information of the selected service type which is supported by
both the first MS and a second MS, and transmitting a connection complete
message between the first MS and the second MS for communication using
the selected service type.