The invention discloses an arc-edge buckling machine. The arc-edge buckling machine comprises a machine body, an edge buckling mechanism and a guide mechanism. The front portion of the machine body is provided with a first installation surface and a second installation surface. The edge buckling mechanism comprises a working wheel and a positioning wheel installation block, wherein the working wheel is arranged on the first installation surface, and the positioning wheel installation block is in up-and-down sliding connection with the second installation surface. An installation inclined surface is arranged on the front portion of the positioning wheel installation block, and a positioning wheel is arranged on the installation inclined surface. The guide mechanism comprises a guide block, and the guide block is arranged on the right side of the working wheel. Because the positioning wheel is obliquely abutted against an arc-shaped pipeline product, the positioning wheel is in point contact with the product and can flexibly follow the movement path of the working wheel to steer, and the arc-edge buckling machine can be used for processing an arc-shaped pipeline. In addition, the guide block in the guide mechanism is in surface contact with the product, so that the product is not easy to fold due to shape mutation.