  We study nonsingular black holes viewed from the point of view of
Ayon-Beato-Garcia (ABG) nonlinear electrodynamics (NLED) and present a complete
study of their corresponding strong gravitational lensing. The NLED modifies
the the photon's geodesic, and our calculations show that such effect increases
the corresponding photon sphere radius and image separation, but decreases the
magnification. We also show that the ABG's shadow radius is not compatible with
bound estimates of Sgr A* from Keck and VLTI (Very Large Telescope
Interferometer). Thus, the possibility of Sgr A* being a nonsingular ABG black
hole is ruled out.
