A method for supporting a voice service of a user equipment (UE) in a wireless communication system; and a Mobility Management Entity (MME) apparatus therefore. The method according to one embodiment includes transmitting an update location request (ULR) message to a home subscriber server (HSS); and transmitting a Notify Request message including a single radio voice call continuity (SRVCC) capability, when the MME determines that the SRVCC capability is changed. If the MME knows a homogeneity of support of an IMS voice over PS session in all TAs (Tracking areas) or all RAs (Routing Areas) related to the MME, the ULR message includes an information element. If the MME fails to know the homogeneity of support of the IMS voice over PS session due to a lack of information including Voice over IMS related capability information of the UE, the ULR message does not include the information element.