A cyclone dust-separating apparatus that may be conveniently maintained and repaired is disclosed. The cyclone dust-separating apparatus includes a cyclone chamber that separates dust using a whirling air current about a horizontal rotating axis, and a first cover that is detachably attached to an end of the cyclone chamber to expose the cyclone chamber. The first cover can be detached, so the cyclone dust-separating apparatus may be conveniently maintained and repaired.