Provided is a conveying apparatus for conveying a molded body for heat exchanger fins that can achieve high-speed conveyance of a molded body for heat exchanger fins, prevent generation of noise during conveyance, and have a smaller size. A solution is a conveying apparatus for conveying in a predetermined direction, a molded body for heat exchanger fins in a stage after a metal thin plate is provided with through-holes and before the metal thin plate is cut into a predetermined length in a conveying direction, the apparatus including: a rotary conveying body including a plurality of protrusions that are tapered and can enter the through-holes, and including a rotation shaft in a direction orthogonal to the conveying direction of the molded body for heat exchanger fins in a horizontal plane; and a rotary conveying body driving unit that rotates and drives the rotary conveying body, wherein a side surface shape of each of the protrusions is a shape to enable the protrusion to enter the through-hole with a space maintained in synchronization with a rotation of the rotation shaft, and retract from the through-hole while the protrusion conveys the molded body for heat exchanger fins in contact with the through-hole.