A content reproducing method is provided for continuously reproducing content being reproduced by a client device in another client device in a multimedia data providing system including a server for providing content and a plurality of client devices for reproducing the content provided by the server. The method includes reproducing, by a first device, multimedia content being streamed by a content server; and transmitting, by the first device, a first request message for continuously reproducing content being reproduced by the first device in another device and an IDentification (ID) of the first device to another device using local area communication in order to continuously reproduce the content being reproduced by the first device in another device.