  In this paper, we have investigated the Meissner effect of holographic
superconductors in the presence of Dirac-Born-Infeld electrodynamics. The
matching method is applied to obtain the critical magnetic field and the
critical temperature. The critical magnetic field obtained from this
investigation shows the effects of the DBI parameter $b$ and differs from that
obtained from Born electrodynamics because of the extra $\vec{E}.\vec{B}$ term
in the Dirac-Born-Infeld theory. It is observed that the critical magnetic
field increases in Dirac-Born-Infeld theory compared to that in the Born
theory.
