  Strong magnetic fields in the range $ eB\gg m^2_\pi $ effectively probe
internal quark structure of chiral mesons and test basic parameters of chiral
theory, such as $\lan\bar q q\ran, f_\pi$. We argue on general grounds that
$\lan\bar q q\ran$ should grow linearly with $eB$ when charged quark degrees of
freedom come into play. To make explicit estimates we extend previously
formulated chiral theory, including quark degrees of freedom, to the case of
strong magnetic fields and show that the quark condensate $|\lan \bar q
q\ran|_{u,d}$ grows quadratically with $eB$ for $eB\la 0.2$ GeV$^2$ and
linearly for higher field values. These results agree quantitatively with
recent lattice data and differ from $\chi PT$ predictions.
