Vibration isolation, noise insulation, damping and sound insulation materials are widely used to dampen vibration impact on elements of mechanisms and machines. When designing materials, one of the ways to achieve high mechanical characteristics is to use interlocking structures. Interlocking structures are assemblies of interlocking construction blocks held together as a result of contact and friction at the boundary of blocks exclusively and, consequently, requiring no connecting elements. Interlocking structures are characterized by multi-functionality, when the material, in addition to satisfying main requirements for mechanical properties, provides for additional functional properties, such as fatigue resistance, wear resistance, heat protection, energy absorption or vibration damping. A special practical interest is taken in developing multi-layer interlocking structures. The study describes a suggested structure of an anti-vibration pad based on an interlocking structure from truncated octahedral elements to be used as equipment parts and construction elements. The research is aimed at examining mechanical behavior of the anti-vibration pad from truncated octahedral elements, its structural stability and energy absorption characteristics. The designed 3D finite element model was used to study mechanical characteristics of a new structure. The authors chose steel 45 as a material for assembly elements and studied reaction force under quasi-static load of the anti-vibration pad. Cyclic loading diagrams were determined for the assembly at various values of maximum displacement. The article contains dependencies between the energy absorption coefficient of the assembly and maximum displacement and the friction coefficient. The designed pad provides for high fracture resistance and high performance at great loads, showing sufficient damping and anti-vibration properties.