A method and an apparatus for indicating the time of aperiodic channel status information (CSI) report in a wireless communication system are provided. The method for a user equipment (UE) configured to operate in a wireless communication system includes receiving configuration information about a resource of a reference signal from a base station, receiving, from the base station, feedback configuration information set based on the reference signal, receiving, via a downlink control information (DCI), a feedback transmission timing and an aperiodic CSI trigger transferred in the same slot as the reference signal, estimating an aperiodic channel status between the UE and the base station (BS) based on the reference signal, generating feedback information based on the estimated aperiodic channel status, and transmitting the feedback information to the base station based on the feedback transmission timing.