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Centaurus A and M87 are the closest galaxies with active galactic nuclei andTeV gamma-ray emission. The existence of such TeV radiation suggests theproduction of a neutrino flux from the photo- hadronic interactions of thegamma-photons of the active galaxies and their own gas and dust content. Usinga simple model of Centaurus A and M87, the corresponding neutrino luminositiesat source and their fluxes at Earth were calculated. The neutrino fluxesassociated 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 magnitudebelow the modern upper limits from neutrino telescopes. It will be shown that,at high-energies relevant for neutrino astronomy, these neutrino fluxes are notcompetitive with those fluxes which could be produced from astrophysicalscenarios involving cosmic ray acceleration.

\nu-production in Centaurus A and M87 from \gamma-ray interactions with the gas and dust at the sources