  Centaurus A and M87 are the closest galaxies with active galactic nuclei and
TeV gamma-ray emission. The existence of such TeV radiation suggests the
production of a neutrino flux from the photo- hadronic interactions of the
gamma-photons of the active galaxies and their own gas and dust content. Using
a simple model of Centaurus A and M87, the corresponding neutrino luminosities
at source and their fluxes at Earth were calculated. The neutrino fluxes
associated with the aforementioned process resulted to be $E^2 \Phi_{\nu +
\bar{\nu}} < 10^{-13} s^{-1} GeV cm^{-2}$, more than 6 orders of magnitude
below the modern upper limits from neutrino telescopes. It will be shown that,
at high-energies relevant for neutrino astronomy, these neutrino fluxes are not
competitive with those fluxes which could be produced from astrophysical
scenarios involving cosmic ray acceleration.
