  We present an evaluation of the atmospheric tau neutrino flux in the energy
range between $10^2$ and $10^6$ GeV. The main source of tau neutrinos is from
charmed particle production and decay. The $\nu_\tau N\to \tau X$ event rate
for a detector with a water equivalent volume of 1 km$^3$ is on the order of
60-100 events per year for $E_\tau>100$ GeV, reducing to 18 events above 1 TeV.
Event rates for atmospheric muon neutrino oscillations to tau neutrinos are
also evaluated.
