  Monopole solutions in SU(2) Yang-Mills theory which includes spinor fields
described by the nonlinear Dirac equation are obtained. It is demonstrated that
the energy spectrum of such a system possesses a global minimum whose
appearance is brought about solely by the nonlinear spinor fields. It is shown
that the monopole solution obtained differs in principle from the
't~Hooft-Polyakov monopole in that it is topologically trivial.
