  We systematically examine the properties of null geodesics around an
electrically charged, asymptotically flat black hole in Eddington-inspired
Born-Infeld gravity, varying the electric charge of black hole and the coupling
constant in the theory. We find that the radius of the unstable circular orbit
for massless particle decreases with the coupling constant, if the value of the
electrical charge is fixed. Additionally, we consider the strong gravitational
lensing around such a black hole. We show that the deflection angle, the
position angle of the relativistic images, and the magnification due to the
light bending in strong gravitational field are quite sensitive to the
parameters determining the black hole solution. Thus, through the accurate
observations associated with the strong gravitational lensing, it might be
possible to reveal the gravitational theory in a strong field regime.
