  The Dirac monopole string is specified for anti de Sitter cosmological model.
Dirac equation for spin 1/2 particle in presence of this monopole has been
examined on the background of anti de Sitter space-time in static coordinates.
Instead of spinor monopole harmonics, the technique of Wigner D-functions is
used. After separation of the variables radial equations have been solved
exactly in terms of hypergeometric functions. The complete set of spinor wave
solutions has been constructed, the most attention is given to treating the
states of minimal values for total moment quantum number j_{min}. At all values
of j, the energy spectrum is discrete.
