Abstract: An electrodynamic space tether system operating in stretched cluster mode in a circular equatorial near-Earth orbit under conditions of nonuniformity of the Earth’s magnetic field is considered in this work. The dynamic equations of motion are analyzed to find equilibrium modes of motion. A possible motion mode of tethered cluster is found, which is close to vertical equilibrium position in the orbital plane. The stability of the found equilibrium is investigated in linear approximation. The results of numerical modeling of some relations for the tether system with varying its parameters are presented.