One of the topical trends in modern materials science is the development and study of new layered metal-polymer composites, which are increasingly used in aerospace engineering, automotive and transport engineering. The metal base of these composites provides a high level of strength properties and impact strength, and the polymer interlayer allows obtaining high damping properties due to its ability to dissipate the energy of elastic vibrations. Of a considerable practical interest is one of the varieties of metal-polymer composite materials based on a sandwich structure -layered steel-rubber composite characterized by pronounced viscoelastic properties, which allows them to be used as vibration damping elements in transport systems. In this work, the possibility of obtaining promising layered metal-rubber composites based on low-carbon steels (Fe-2Mn-1Si steel, IF steel), aluminum alloy Al-Mg3 and heat-and-frost-resistant rubber V-14-1NTA by hot pressing is studied. The influence of the composition and design of composites on the impact strength at temperatures of 20 and −60°C and the damping ability characteristics of materials such as the tangent of the angle of mechanical losses (tg δ), the modulus of elasticity (E ') and the modulus of viscosity (E '') are determined by the method of dynamic mechanical analysis. The possibility of using layered metal-rubber composites with increased resistance to brittle fracture in the region of low climatic temperatures, as well as in structural elements of transport systems with high vibration resistance is shown.