A self-propulsion hovering vacuum cleaner for domestic or industrial application has air outlets predisposed symmetrically along the longitudinal axis of the underside of the casing for directing more air to the front and back directions of the vacuum cleaner to achieve even distribution of air underneath the vacuum cleaner, thereby reducing juddering or rocking effects. The underside of the casing has a curved surface predisposed symmetrically along the longitudinal axis of the underside of the casing for better retention of air to enhance the hovering effect. In another embodiment of the present invention, air distribution channels are predisposed symmetrically on both sides of the underside of the casing along the longitudinal axis. The air distribution channels are in communication with the air outlets for directing more air to the front and back of the vacuum cleaner. The improved hovering vacuum machine also has self-propulsion features and self-cooling features.