The present disclosure provides a semiconductor device, and a capacitor device and its manufacture method, and relates to the field of semiconductor technologies. The manufacture method includes: forming, on a substrate, a plurality of storage node contact plugs distributed in an array and an insulation layer separating each of the storage node contact plugs; forming an electrode supporting structure on a side of the insulation layer away from the substrate, the electrode supporting structure having a plurality of through holes exposing each of the storage node contact plugs respectively, the through hole comprising a plurality of hole segments end-to-end jointing successively, the hole segment located on a side close to the substrate having an aperture greater than the hole segment located on a side away from the substrate; forming a dielectric layer; forming a second electrode layer.