Provided are a method for a base station to support single-cell point-to-multipoint (SCPTM) service continuity in a wireless communication system, and an apparatus supporting the same. The method may comprise the following steps performed by the base station: receiving, from a multi-cell coordination entity (MCE), an MBMS session start request message comprising a cell ID list; checking whether a requested MBMS resource is established; and transmitting, to a neighboring base station, MBMS bearer service information on a cell basis.