This aims to provide a press process for drawing a plate material into a predetermined shape. This press process performs a first unwrinkling treatment and a second unwrinkling treatment sequentially for unwrinkling the material. Between these first and second unwrinkling treatments, an introduction for deforming the material is made so that the portion of the material on the side to be subjected to the second unwrinkling treatment may be positioned on the side of a drawing direction with respect to the portion subjected to the first unwrinkling treatment. This first unwrinkling treatment is made on such a portion to be unwrinkled in the material as is located on the side of a larger drawing depth for the predetermined shape. On the other hand, the second unwrinkling treatment is made on such a portion to be unwrinkled as is located on the side of a smaller drawing depth.