A method for operating a terminal for supporting a handover in a heterogeneous network is provided. The method includes measuring received signal strength from a target small base station, so that a Signal-to-Noise Ratio (SNR) is estimated, when the SNR of the target small base station that considers a biased value for range expansion is greater than an SNR of a serving macro base station, determining whether an SNR of the target small base station that does not consider the biased value for the range expansion is equal to or less than a threshold, and when the SNR of the target small base station that does not consider the biased value for the range expansion is equal to or less than the threshold, transmitting indication information, informing that a low SNR is expected when the terminal performs a handover to the target small base station, to the serving macro base station.