The invention discloses a cup-shaped part reverse extrusion molding device and method. The molding device comprise an upper mold plate, a base plate, a reverse extrusion punch, a compression spring, a limiting sleeve, a reverse extrusion barrel, an ejector block, an ejector rod, hydraulic cylinder pull rods and a lower mold plate. The base plate is arranged below the upper mold plate, the bottom of the base plate is connected with the reverse extrusion punch, the reverse extrusion barrel is arranged inside the limiting sleeve, the ejector block is arranged inside the reverse extrusion barrel, the ejector rod is arranged at the bottom of the ejector block, the hydraulic cylinder pull rods are fixed between the reverse extrusion barrel and the lower mold plate, the reverse extrusion punch is of a two-section stepped cylindrical structure, and a three-section through hole is formed in the punch. The reverse extrusion barrel is a barrel-shaped part with an inner cavity being a through hole. The upper portion of the through hole inner cavity is a containing cavity, and the lower portion of the through hole inner cavity is in clearance fit with the ejector block. The lower end of the reverse extrusion barrel is connected with the four hydraulic cylinder pull rods. Each hydraulic cylinder pull rod is of a T-shaped structure, and the reverse extrusion barrel is controlled to move up and down. The friction force between the punch and a blank and the friction force between the blank and the wall of the reverse extrusion barrel are reduced, the equipment service life is prolonged, and the cost is saved.