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The atmospheric muon and neutrino flux have been simulated using the sameapproach which successfully accounted for the recent secondary proton, electronand positron flux measurements in orbit by the AMS experiment. For the muonflux, a good agreement is obtained with the CAPRICE and HEAT data for altitudesranging from sea level up to about 38 km. The general features of thecalculated atmospheric neutrino flux are reported and discussed. The fluxobtained at the Super-Kamiokande experiment location are reported and comparedwith other calculations. For low neutrino energies the flux obtained issignificantly smaller than that used in the data analysis of undergroundexperiment. The simulation results for the SOUDAN experiment site are alsoreported.Comment: 33 pages, 27 figures, 12 tables, final version for Phys. Rev.

Atmospheric muon and neutrino flux from 3-dimensional simulation