Bunch mechanical characteristics (elasticity modulus, yield stress, failure strain) of nanocomposites polymer/organoclay were studied. The quantitative relationships were proposed, allowing these characteristics correct description, taking into account interfacial adhesion (nanoadhesion) level and polymeric matrix molecular mobility changed due to nanofiller introduction. For this purpose modern physical conceptions were used, namely, the cluster model of polymers amorphous state structure, fractal analysis and anharmonicity conception.