A press working machine includes base members having concave portions, slider members arranged in the concave portions, link arms attached to first ends of the slider members respectively, and cylinders attached to the arms, for bending and extending the same. Furthermore, press members having curved mold-facing surfaces are arranged on the slider members. Molds having deformable structures are arranged on the press members. A workpiece is inserted between the molds, to be press-worked. The slider members are actuatable to press the press members against the molds, so as to deform the molds into different mold shapes. Thus, it is possible to press-mold workpieces into a plurality of shapes with a single mold assembly, thereby reducing the cost for manufacturing the mold assembly, omitting an operation of exchanging the mold assembly, and reducing the manufacturing cost.