  Using the approach based on Bogoliubov compensation principle is applied to
calculation of a contribution to the muon $g-2$. Using the previous results on
spontaneous generation of the effective anomalous three-boson interaction we
calculate the contribution, which proves to agree with the well-known
discrepancy. The calculated quantity contains no adjusting parameters but the
experimental values for the muon and the W-boson masses. The result can be
considered as a confirmation of the approach.
