  We study the propagation of light under a strong electric field in
Born-Infeld electrrdynamics. The nonlinear effect can be described by the
effective indices of refraction. Because the effective indices of refraction
depend on the background electric field, the path of light can be bent when the
background field is non-uniform. We compute the bending angle of light by a
Born-Infeld-type Coulomb charge in the weak lensing limit using the trajectory
equation based on geometric optics. We also compute the deflection angle of
light by the Einstein-Born-Infeld black hole using the geodesic equation and
confirm that the contribution of the electric charge to the total bending angle
agree.
