System and method for transmitting and receving a media according to the priority of media burst

A media transceiving method in accordance with media burst importance and a system are provided to transmit an MBCP(Media Burst Control Protocol) request message which indicates importance of media to be transmitted by a PoC(PTT(Push To Talk) over Cellular) user, and to enable a PoC server to send an MBCP taken message to a PoC user who receives the media by processing the MBCP request message, thereby offering a basis of deciding whether the PoC user determines to receive the media. A transmission PoC client transmits an MBCP request message which includes importance indicating information. If the importance indicating information is contained in the request message, a controlling PoC server recognizes that the message is an important message, and generates an MBCP taken message including the importance indicating information to send the generated message to a receiving PoC client through a participating PoC server. The receiving PoC client confirms the importance indicating information included in the MBCP taken message to notify that the message is the important message.