A method for providing a client with a playlist of content segments accessible in a live streaming service provided in a Hypertext Transfer Protocol (HTTP) adaptive streaming format is provided. A live content processing method for a broadcast system includes transmitting and updating content-related information sent from a server to a client, checking, at the client, content segments accessible in real time and saving a previous content-related information, retrieving the content segments playable by referencing the previous content-related information, determining, at the client, whether the content requested for playback can be playable using a playlist, and notifying the user of the playback result.