Disclosed are a method for transmitting and receiving data in a wireless communication system supporting vehicle-to-everything (V2X) communication, and an apparatus therefor. Specifically, a method for transmitting and receiving data by a first terminal in a wireless communication system supporting V2X comprises the steps of: receiving, from a base station, downlink control information (DCI) including resource allocation information related to the transmission of control information for a sidelink; transmitting, to a second terminal, the control information for the sidelink on the basis of the resource allocation information; and transmitting at least one type of data to the second terminal, wherein the control information for the sidelink can be transmitted in a second subframe positioned after a predetermined offset from a first subframe in which the downlink control information is received.