  In this paper we investigate the perturbations by a massless Dirac spinor of
a Born-Infeld black hole. The decay rates of the spinor field which is given by
the quasinormal mode frequencies are computed using the sixth order WKB
approximation. The behavior of the quasi normal modes with the non-linear
parameter, temperature and charge of the black hole are analyzed in detail. We
also compare the decay rates of the Born-Infeld black hole with its linear
counter-part Reissner-Nordstrom black hole.
