  We study the relativistic quark-antiquark system embedded in magnetic field.
The Hamiltonian containing confinement, one gluon exchange and spin-spin
interaction is derived. We analytically follow the evolution of the lowest
meson states as a functions of MF strength. Calculating the one gluon exchange
interaction energy <V_OGE> and spin-spin contribution <a_SS> we have observed,
that these corrections remain finite at large magnetic fields, preventing the
vanishing of the total rho-meson mass at some B_crit, as previously thought. We
display the rho masses as functions of magnetic field in comparison with recent
lattice data.
