In this paper,the electron motion confined by a transverse magnetic field in a hollow-cathode discharge is investigated.Some swarm paramaters are obtained such as the energy and spatial distribution under the terminative condition.Due to the existence of a transverse magnetic field,electrons' motion is changed and thus all kinds of the inelastic collision are different from the case of zero magnetic field.The results from simulation show that while the magnetic field is equal to 0.05T,the ionization increases and the distribution of the electrons and ions are of benifit to the development of ion laser.