  It is shown that a magnetic field dramatically affects the problem of
supercritical charge in graphene making any charge in gapless theory
supercritical. The cases of radially symmetric potential well and Coulomb
center in an homogeneous magnetic field are considered. The local density of
states and polarization charge density are calculated in the first order of
perturbation theory. It is argued that the magnetically induced instability of
the supercritical Coulomb center can be considered as a quantum mechanical
counterpart of the magnetic catalysis phenomenon in graphene.
