  We study the generation of magnetic fields in the Higgs inflation model with
the axial coupling in order to break the conformal invariance of the Maxwell
action and produce strong magnetic fields. We consider radiatively corrected
Higgs inflation potential. In comparison to the Starobinsky potential, we
obtain an extra term as a one loop correction and determine the spectrum of
generalized electromagnetic fields. For two values of coupling parameter
$\chi_{1}=5\times 10^{9}$ and $\chi_{1}=7.5\times 10^{9}$, the back-reaction is
weak and our analysis is self-consistent.
