  We discuss the possibility to suppress downward atmospheric neutrinos in a
high energy neutrino telescope. This can be achieved by vetoing the muon which
is produced by the same parent meson decaying in the atmosphere. In principle,
atmospheric neutrinos with energies $E_\nu > 10$ TeV and zenith angle up to 60
degree can be vetoed with an efficiency of > 99%. Practical realization will
depend on the depth of the neutrino telescope, on the muon veto efficiency and
on the ability to identify downward moving neutrinos with a good energy
estimation.
