We calculate the current and field profiles in a finite cylindric type-II superconducting sample which result from displacing it within the magnetic field created by a coaxial permanent magnet. The method of calculation is based on minimizing the magnetic energy in the superconductor, by introducing currents with a maximum density, following the critical-state model. The effects of the superconductor finite size are fully incorporated in the calculations. The lévitation force of such a system is calculated from the previous results. © 1999 IEEE.