  In this paper, we analytically investigate the effect of adding an external
magnetic field in presence of Born-Infeld corrections to a holographic
superconductor in the probe limit. The technique employed is based on the
matching of the solutions to the field equations near the horizon and the
asymptotic AdS region. We obtain expressions for the critical temperature and
the condensation values explicitly to all orders in the Born-Infeld parameter.
The value of the critical magnetic field is finally obtained and is found to
get affected by the Born-Infeld parameter.
