A sleeve driving structure for various easy jacks contains: a sleeve body including a polygonal fitting portion formed in a first end thereof for fitting with a rotating tool and including a first connecting extension and a second connecting extension symmetrically extending outward from a second end thereof, the first connecting extension and the second connecting extension being parallel to and separated from each other so as to insert at least one driving piece of a screw rod of a jack, and the first connecting extension and the second connecting extension having a first orifice and a second orifice symmetrically communicating and concentric with each other and defined in a first direction thereof; a bolt body fitted in the first orifice and the second orifice of the first connecting extension and the second connecting extension and at least one aperture of the at least one driving piece of the jack.