  We analyzed the frequency shifts of photons emitted from massive particles
that move in stable geodesics around black holes with non-linear
electrodynamics. The motion of the photon is modified by an effective metric
when the Einstein gravity is coupled with non-linear electrodynamics. The
kinematic shifts for photons are modified by the magnetic and electric factors
that make the difference between the linear and non-linear electrodynamics. As
an illustration, we present the frequency shifts of the photons for black holes
with non-linear electrodynamics, two magnetic black holes, and two electric
black holes, the Bardeen and Bronnikov black holes for the magnetic charge and
the Born-Infeld and Dymnikova black holes for electric charge. These frequency
shifts are compared with their linear electromagnetic counterpart.
