It is shown that the currents for the interactions of the higher spin fermions must obey the theorem on currents and fields as well as the theorem on continuity of current derivatives. In consequence of the theorem on continuity of current derivatives the current components must decrease at pν→∞, where p is the momentum of the higher spin fermion. The decrease of the currents is ensured by the form factors. The form factor in the vertex function of the interaction of the higher spin fermion with the 0 - and 1/2 - spin particles is derived in agreement with the theorem on continuity of current derivatives. The proposed model of the currents is used for the calculations of the contributions of the higher spin nucleon resonances N*(J) (J is the spin of higher spin fermion) to the s-8 channel amplitudes of the elastic πN-scattering. It is shown that these contributions to the amplitudes decrease at least as at the square of the energy s→∞.