Abstract: A cross-member for a motor-vehicle twist-beam axle suspension includes a single piece of steel that defines a closed cross-section and integrally forms a middle section, a pair of end sections, and a pair of joining sections. The middle section has a center axis extending along a curvilinear path lying in a first plane and a squashed portion extending in a second plane inclined to the first plane. The end sections are adapted to be securely connected to respective trailing arms of the twist-beam axle suspension. Each of the joining sections is interposed between the middle section and the respective end section and defines an opposite concavity with respect to the middle section. A twist-beam axle suspension for a motor vehicle includes the cross-member and a pair of trailing arms. A method produces the cross-member for a motor-vehicle twist-beam axle suspension.