  We study the $T {-} {\mu}$ phase diagram of quark matter under the influence
of a strong uniform magnetic field in the framework of a nonlocal extension of
the Polyakov Nambu Jona Lasinio model (PNJL). The existence of a critical end
point (CEP) is found for the whole considered range of the magnetic field (up
to 1 $GeV^{2}$). We analyze the location of this CEP as a function of the
external field and discuss the presence of inverse magnetic catalysis for
nonzero chemical potentials. Our results show that the temperature of the CEP
decreases with the magnetic field, in contrast to the behavior observed in
local NJL/PNJL models.
