A press die assembly includes a fixed die and a movable die. The fixed die includes a fixed-side forming section that includes a first forming surface, and multiple metal fixed-side support blocks arranged in a planar direction. The fixed-side support blocks support the fixed-side forming section from a side opposite to the first forming surface. The movable die includes a movable-side forming section that includes a second forming surface that faces the first forming surface, and multiple metal movable-side support blocks arranged in the planar direction. The movable-side support blocks support the movable-side forming section from a side opposite to the second forming surface. The Young's moduli of the fixed-side support blocks increase with increasing proximity to a central portion of the first forming surface. The Young's moduli of the movable-side support blocks increase with increasing proximity to a central portion of the second forming surface.

A forging machine includes a first tool carrier and a second tool carrier, a drive system for driving the first tool carrier in a working movement, a machine frame, wherein the machine frame is formed of a concrete prestressed with prestressing elements, wherein the machine frame comprises a frame base and a frame support connected to the frame base, wherein longitudinal prestressing elements are provided which extend parallel to the central axis (M) and each extend through the frame support, the frame base, and through the cross-member, wherein transverse prestressing elements are provided both in the frame base and in the cross-member, wherein the longitudinal prestressing elements and the transverse prestressing elements include prestressing anchors, and wherein the prestressing anchors are each arranged on an outer surface of the frame base or the cross-member.