The discrepancy in the muon $g - 2$ is a non-perturbative effect of the Standard Model

The non-perturbative approach based on Bogoliubov compensation principle is applied to the calculation of a contribution to the muon $g-2$. Using the previous results on the spontaneous generation of the effective anomalous three-boson interaction the contribution is calculated and shown to be in agreement with the well-known discrepancy. The calculated quantity contains no adjusting parameters but the experimental values for the muon and the W-boson masses.