  Correlators of vector, axial and pseudoscalar currents have been calculated
in external strong magnetic field in SU(2) gluodynamics on the lattice. Neutral
$\rho$ and $A$ meson masses with a zero spin projection to the axis parallel to
the external magnetic field $B$ are calculated. The mass of the neutral $\rho$
meson with zero spin decreases with increasing of the magnetic field for
available values of the magnetic field $eB\lesssim 2-2.5\, \Gev^2$, such
behavior is necessary for a condensation of $\rho$ mesons in a strong magnetic
field.
