In recent years, photon drag has attracted enormous attention owing to both fundamental and practical interests. In this paper, by presenting a density-matrix approach, we have theoretically demonstrated an enhanced photon drag in a moving atomic medium. By incorporating of the interference of spontaneous emission, properties of the medium can be easily controlled by the relative phase of applied fields so that a large group index along with a transparency or even a gain can be achieved. As photon drag is proportional to group index, the enhancement can be also found in the dragging effect. Applications of the enhanced dragging effect can be found for efficient modulators of light, position control, and detection of slow motion.