Rheological properties of mixed solutions of cylindrical micelles of anionic surfactant and hydrophobically modified polyacrylamide at polymer concentrations below overlap concentration of coils and above this concentration in five times. It was shown that addition of the polymer into network of cylindrical micelles leads to increase viscosity and elasticity of the system by several orders of magnitude at all studied concentrations. This effect has been explained common network of surfactant and polymer chains as a result of penetration of hydrophobical parts of polymer into micelles. It was observed, that even at high concentrations of polymer and surfactant sufficiently above overlap concentration, the effect of polymer chains was till great.