A die for a thinning drawing process according to the present invention is provided with a punch, and with a die that defines a molding aperture in relation to the punch. When the skewness (Rsk) of a surface-treated metal plate is less than -0.6 and at least -1.3, the curvature radius of the die shoulder, and the clearance between the punch and the R tangent, are determined such that Y, which is represented by {(tre-cre)/tre} 100, and X, which is represented by r/tre, satisfy the relationship 0 < Y <= 18.7X - 6.1; X satisfies the relationship X >= 0.6; and r satisfies the relationship r <= 0.5h.