  The cosmological black holes are black holes living not in an asymptotically
flat universe but in an expanding spacetime. They have a rich dynamics in
particular for their mass and horizon. In this article we perform a natural
step in investigating this new type of black hole: we consider the possibility
of a \textit{charged} cosmological black hole. We derive the general equations
of motion governing its dynamics and report a new analytic solution for the
special case of the charged Lema\^itre-Tolman-Bondi equations of motion that
describe a charged cosmological black hole. We then study various relevant
quantities for the characterization of the black hole such as the C-function,
the effect of the charge on the black hole flux and the nature of the
singularity. We also perform numerical investigations to strengthen our
results. Finally we challenge a model of gamma ray burst within our framework.
