We have modeled the auroral magnetized plasma as an inhomogeneous current-carrying plasma and have shown that some features of the magnetic pulsations in that region not yet explained might be clarified by the discrete Alfv¿n eigenmode propagation in that plasma. This mode has the frequency outside of the shear Alfv¿n continuum, and it is a global mode rather than a localized Alfv¿n noneigenmode in inhomogeneous media. Discrete Alfv¿n waves are also described by the two-fluid model finite &ohgr;/&ohgr;ci, where (&ohgr;ci) is the ion cyclotron frequency. In this paper we show that the current-carrying magnetic field tube in magnetosphere can sustain discrete Alfv¿n modes whose frequency is compatible with the ultralow-frequency pulsations observed. ¿ American Geophysical Union 1994