  The diffuse neutrino flux from FRI and BL Lac type galaxies generated from
interactions of their own gamma radiation with the gas and dust at the sources
is reported. This neutrino-production channel has not been studied in detail up
to now. The calculations are based on individual estimations of the neutrino
flux in two nearby AGN's: Centaurus A and M87, assuming the validity of the AGN
unification model. The predictions for Centaurus A and M87 involved the
parameterization of the measured gamma-ray luminosities and the modeling of the
material of the galaxies both based on observations performed by several
detectors. No hadronic origin for the TeV photons is assumed. The results show
that, although the corresponding neutrino flux ($E^{2} \Phi_{\nu + \bar{\nu}} <
10^{-13} s^{-1} sr^{-1} GeV cm^{-2}$) is not competitive at high-energies
($E_\nu > 1 TeV$) with that from hadronic models, FRI and BL Lac galaxies with
gamma emission should be already contributing to the diffuse flux of neutrinos
in the universe.
