PROBLEM TO BE SOLVED: To provide a method for the press working of a metallic material that enables excellent workability to be realized irrespective of the types of the metallic material.SOLUTION: In a method for the press working of deep drawing molding with a metallic material used as a typical example, the type and microscopic behavior of the metallic material, the type and macroscopic behavior of the working based mainly on the deep drawing molding, and microscopic and macroscopic effects of external force, speed, and temperature on the deformation behavior of the metallic material are taken into consideration to simultaneously perform the control of a slide speed and/or motion including the temporary stop of slide and the control of a temperature and/or a temperature distribution and a temperature gradient of the metallic material. Preferably, a volumetric change of a flange and a change in friction force dependent on speed and temperature and in the work-hardening degree and the deformation allowance o
