The machine for forming prismatic box bases or lids by bending and attaching die cut plates comprises a molding cavity (11) with an inlet opening and a plunger (70) moved by a drive mechanism between an extracted position and an introduced position with respect to the molding cavity (11). The molding cavity (11) comprises an integer number greater than two of simple wall bending elements (12) and an equal integer number greater than two of composite wall bending elements (13, 13X, 13Y) arranged around the path of the plunger and intercalated with one another defining a polygon, and an equal integer number greater than two of pairs of pressure blades (14) arranged such that the pressure blades (14) of each pair flank one of the composite wall bending elements (13, 13X, 13Y). The pressure blades (14) are moved by blade actuators (15) between a retracted position and a pressure position.
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