Abstract: A hemming apparatus for hemming the peripheral part of a work usable for a motorcar in the form of a door, a bonnet or the like includes a lower anvil on which the work is placed, an upper anvil adapted to support the peripheral part of the work from the above, a presser for supporting the peripheral part of the work from the lower side, a link arm of which one end is operatively connected to the lower end of a second hydraulic cylinder, a shaft of the link arm being turnably supported at a middle part thereof by a frame, a preliminary bending punch for primarily preliminarily bending the peripheral part of the work and a main bending punch for secondarily bending the peripheral part of the work. The lower end of the preliminary bending punch is operatively jointed to the link arm via a joint member at one end of the ink arm, while the lower end of the main bending punch is operatively jointed to the link arm via a joint member at an opposite end of the same.