A mathematical model of aerodynamic extension of a polymer jet was developed with consideration of its hyperelastic properties. The results of an experimental study of aerodynamic extension of equiviscous solutions in DMF of acrylonitrile copolymers (ANCP) with different specific viscosity are reported. The calculated and experimental characteristics of aerodynamic spinning from polymer solutions are compared. The determining role of hyperelastic strain in strengthening of the jet in stretching it in the secondary spinnability zone is established.