The first results of the study of high-energy electron neutrino (nu e) e ) and muon neutrino (nu mu) mu ) charged- current interactions in the FASER nu emulsion-tungsten detector of the FASER experiment at the LHC are presented. A 128.8 kg subset of the FASER nu volume was analyzed after exposure to 9.5 fb-1 - 1 of p = 13.6 TeV pp data. Four (eight) nu e e (nu mu) mu ) interaction candidate events are observed with a statistical ffiffis ffi s significance of 5.2 sigma (5.7 sigma). This is the first direct observation of nu e e interactions at a particle collider and includes the highest-energy nu e e and nu mu mu ever detected from an artificial source. The interaction cross section per nucleon sigma /E nu is measured over an energy range of 560-1740 GeV (520-1760 GeV) for nu e e (nu mu) mu ) to be ( 1 . 2 + 0 .8 -0.7 ) x 10 - 38 cm2 2 GeV-1 - 1 [(0.5 ( 0.5 + 0.2) ) x 10 - 38 cm2 2 GeV-1], - 1 ], consistent with standard model predictions. These are the first measurements of neutrino interaction cross sections in those energy ranges.