A method of controlling a router to transmit Content-Centric Network (CCN)-based real-time contents is provided. The method includes receiving identification information regarding real-time contents that a target device is to receive from a source device and transmitting the real-time contents to the target device, and in response to content request information which is generated based on the identification information being received from the target device, transmitting to the target device contents which correspond to the received request information.