  We investigate the ground state energies of vector $\rho^{\pm}$ and $K^{\pm
*}$ mesons depending on the magnetic field value in the $SU(3)$ lattice gauge
theory. It has been shown that the energy of a vector particle depends on its
spin projection on the field axis. The magnetic dipole polarizability and
hyperpolarizabilities give significant contributions to the energy value which
prevents the formation of the charged vector meson condensate at high magnetic
fields. We calculate the g-factor of $\rho^{\pm}$ and $K^{\pm*}$ mesons and the
dipole magnetic polarizability of $\rho^{\pm}$ mesons.
