The principally new percolation model for description of the extreme dependence of elasticity modulus on nanofiller contents for nanocomposites polymer/carbon nanotubes was proposed. The indicated model takes into account nanocomposites reinforcing component change from interfacial regions up to carbon nanotubes network at the last percolation threshold. From the mathematical point of view for the dependence of elasticity modulus on carbon nanotubes contents description the general percolation relationship is used with critical index change at percolation threshold.