A base station and method are provided for transmitting data of a multimedia broadcast multicast service (MBMS) by the base station in a wireless communication system. The method includes receiving one or more service data units (SDUs) from a core network node; receiving a control message including respective length information of the SDUs transmitted from the core network node; identifying one or more subframes impacted by a loss of two or more consecutive SDUs based on the length information if the two or more consecutive SDUs are not received; and muting the identified one or more subframes impacted by the loss of the two or more consecutive SDUs.