A torsional vibration damper comprises an outer housing, an inner part that is concentric relative to the outer housing, a plurality of chambers formed between the outer housing and the inner part, which are filled with a damping medium and are connected to one another through overflow channels, and a plurality of leaf spring assemblies that are arranged in the chambers and join the outer housing and the inner part with one another in a torsionally flexible manner. The leaf spring assemblies have machining-induced deflections. Two leaf springs with substantially similar deflections are each arranged within a chamber. The leaf spring pairs may be arranged in a mirror-image array or in parallel to one another. Thus, the manufacturing cost of a torsional vibration damper can be reduced, while its compact outer dimensions can be maintained.