  The standard chiral perturbation theory is known to predict much weaker
effects in magnetic field, than found in numerical lattice data. To overcome
this disagreement we are using the effective chiral confinement Lagrangian,
$L_{ECCL}$, containing both chiral and quark degrees of freedom, in the
presence of external magnetic field. Without magnetic fields $L_{ECCL}$ reduces
to the ordinary chiral Lagrangian $L_{EC L}$, yielding in the lowest order
$O(\partial_\mu \varphi)^2$ all known relations, and providing explicit
numerical coefficients in the higher $O(p^4, p^6)$ orders.
  The inclusion of the magnetic field in $L_{ECCL}$ strongly modifies ECL
results for chiral condensates, coupling constants $f_\pi, f_K$ and masses of
chiral mesons. The resulting behavior contains the only parameter -- the string
tension $\sigma$, is roughly proportional to $O\left( \frac{eB}{\sigma}\right)$
and agrees very well with lattice data. These results show that the magnetic
field acts not only on the chiral degrees of freedom $(\varphi_\pi)$, but also
on quarks in the quark-chiral Lagrangian, which produce much stronger effect.
