We have studied the pyroelectric properties of a ferroelectric superlattice described by the Ising model in a transverse field using effective field theory with a probability distribution technique that accounts for the self-spin correlation functions.The Curie temperature, dielectric constant, and polarization have been obtained. The most striking feature is that the dielectric constant presents two pyroelectric peaks for large-period superlattices. The pyroelectric peak at low temperature disappears when the period is small enough.