Abstract: A die-pressing punch used for die-pressing a workpiece includes a punch guide, a punch body that is provided vertically movably and non-rotatable about its axial center with respect to the punch guide, a punch head screw-fitted with the punch head. The die-pressing punch further includes a roller unit that is provided inside the punch guide beneath the punch body vertically movably and has a rotatable roller protruding downward from a bottom face of the punch guide, and an urging member that is provided between the punch body and the roller unit and urges the roller unit downward. The die-pressing punch further includes a joint member that is jointed with the punch head non-rotatably about the axial center, and an operable member. The operable member switches the joint member between a rotatable state and a non-rotatable state about the axial center with respect to the punch guide.