A new kinetic scheme of the non-equilibrium gas discharge plasma is employed to describe the characteristics of a low-pressure cascaded arc plasma in pure hydrogen. The presented kinetic model includes the dynamics of the following plasma components: vibrationally excited hydrogen molecules in the ground electronic state , hydrogen atoms in the ground and electronically excited states (H(n), n=1,2,...) and electrons, positive and negative hydrogen ions . It has been shown that the low-pressure hydrogen cascaded arc plasma is characterized by high degrees of ionization and dissociation, and can generate high-density fluxes of vibrationally excited hydrogen molecules and negative ions.