The invention discloses a rubber sleeve installing device with a finished product storage device. The rubber sleeve installing device comprises a base plate, a pre-positioning device, a workpiece jacking device, positioning dies, a rubber sleeve installing device body and a material receiving device; the material receiving device comprises a material receiving air cylinder and an overturning frame, the overturning frame is horizontally arranged between the two positioning dies, and the middle part of the overturning frame is in rotating fit with the positioning dies on the two sides correspondingly; when the overturning frame is in a receiving state, the material receiving air cylinder downwards pulls the rear end of the overturning frame, the overturning frame rotates, at the moment, thefront part of the overturning frame is located above a workpiece positioning groove, and the front end of the overturning frame is higher than the rear end of the overturning frame; and the material storage device comprises a frame, a piece transferring disc, a piece taking device and a containing device, and the containing device is installed below the frame in a sliding mode. According to the provided rubber sleeve installing device with the finished product storage device, the device can be used for installing rubber sleeves at the two ends of a round pipe through machines, and machined workpieces can be stored.