A method for transmitting feedback information on device to device (D2D) transmission data in a wireless communication system for supporting D2D communication according to the present invention comprises the steps of: informing a D2D link with another D2D terminal through a D2D terminal search; enabling a first D2D terminal to receive, in the formed D2D link, D2D information including resource allocation information for transmitting D2D data from a base station; enabling the first D2D terminal to receive data from a linked second D2D terminal through a resource according to the resource allocation information; and transmitting, to the base station, feedback information including acknowledgement/non-acknowledgement (ACK/NACK) signals for the received data, wherein the feedback information can comprise a D2D indicator for indicating the information related to the D2D communication and the identification information of the first D2D terminal and/or the identification information of the second D2D terminal.