A drawer-sliding device. The device includes an outer sliding member fastened with a cabinet or the like. A middle sliding member is mounted slidably in the outer sliding member, and an inner sliding member is fastened with the drawer and mounted slidably in the middle sliding member. The inner sliding member is provided with a coupling element. The outer sliding member is provided with a fast return element and a spring element. When the inner sliding member and the drawer are drawn out, the coupling element of the inner sliding member is engaged with the fast return element so as to bring about an outward displacement of the fast return element, thereby resulting in deformation of the spring element. When the inner sliding member is pushed back into place along with the drawer, the fast return element and the coupling element are forced by the spring element to move back into place.