To stack trimmed punched molds in an aligned state, to dispense with an enlargement of a device, to reduce a frequency of discharging the punched molds, to cause no reduction in throughput, and to carry punched mold stack to a post-process by lengthening the stack.

This mold stacking carrying device is provided with a lifting table 42 for placing the plural-row punched mold stack, a bottom surface member 61b for placing one row of the punched molds, and a back face member 61a vertical to the bottom surface member 61b, and is provided with a tilting device 61 rockable in a range up to an inclined state from a rising state and a pusher for successively transferring the plural-row punched molds one row by one row on the bottom surface member 61b of the tilting device 61 in the rising state.