The invention relates to a coupling device for detachably connecting a drawer to a movable rail of a drawer pull-out guide. The coupling device includes at least one movably mounted coupling part for detachably connecting the coupling device to the movable rail of the drawer pull-out guide. The coupling device includes an adapter device, so that the height position of the coupling part relative to the draw bottom can be adjusted. The adapter device includes a bearing part to be fastened to the drawer, and an adjustment part is connected to the coupling part. The adjustment part is adjustably supported in a direction substantially at a right angle to the drawer bottom in order to adjust the height position of the coupling part relative to the bearing part.