The given work is devoted modeling of abnormal properties of the sewed elastomer (PUM) containing 10% of a volume fraction of polyamide-6 (polycaprolactam). This elastomer gets unusual properties after introduction in it extremely small quantity carbon single-walled nanotubes. The relative mass fraction of nanotubes in a composite changes from zero to 0,018%. Results of experiment show that at the mass fraction of nanotubes near 0,002% the essential and accurately expressed effect of growth of actually all mechanical characteristics, including the module of elasticity and limiting pressure is observed. The limiting deformations change slightly. In work the effect of abnormal change of the module of elasticity is modelled. For this purpose the gradient model of the interphase layer is used.