The invention relates to the technical field of wheel installation and press connection of a middle wheel core and a hub of an elastic wheel, in particular to an automatic press device for the elastic wheel. The automatic press device for the elastic wheel is high in installation speed and efficiency, stable and reliable. The automatic press device for the elastic wheel comprises a frame, a control device box, a motor, a telescopic oil cylinder and a workbench. The frame comprises two supporting frames, two supporting beams and a travelling trolley. The upper portions of the supporting frames and the supporting beams are fixedly connected in a T shape. The two ends of the travelling trolley are connected with the two supporting beams in a sliding manner. The motor and the telescopic oil cylinder are fixed to the travelling trolley. The telescopic oil cylinder is connected with the control device box. An automatic bolt fastening device is arranged at the lower end of the control device box and connected with the motor through the control device box. A bolt fastener is arranged at the lower end of the automatic bolt fastening device. The automatic press device is mainly applied to wheel installation.