A method and apparatus for transmitting control information to a User Equipment (UE) by an evolved Node B (eNB) for interference measurement in a wireless communication system are provided. The eNB determines whether the UE can perform interference management for receiving a data signal transmitted from the eNB based on information of an interference signal. When it is determined that the UE can perform the interference management, the eNB transmits to the UE configuration information for receiving the data signal by applying the interference management by the UE, and then transmits to the UE downlink control information including transmission power control information indicating whether a transmission power of a DeModulation Reference Signal (DMRS) corresponding to the interference signal is different from a transmission power of the interference signal.