The invention relates to a rubber sheet packing machine which comprises a machine frame. A swinging and stacking device which is used for stacking rubber sheets into rubber sheet packs by swinging the rubber sheets and a compressing device are arranged on the machine frame. The compressing device is arranged on one side of the swinging and stacking device, and is used for compressing the rubber sheet packs formed through stacking. Through adoption of the technical scheme, the rubber sheets are stacked and placed horizontally through the swinging and stacking device, the compressing device compresses the rubber sheet packs formed through stacking, and the folding type rubber sheet storing requirement of the rubber manufacturing industry is met.