  We present predictions for the flux averaged muon energy spectra of
quasi-elastic (QE) and 1-pion production events for the K2K long-baseline
experiment. Using the general kinematical considerations we show that the muon
energy spectra closely follow the neutrino energy spectrum with downward shift
of the energy scale by 0.15 GeV (QE) and 0.4 GeV (1-pion production). These
predictions seem to agree with the observed muon energy spectra in the K2K
nearby detector. We also show the spectral distortion of these muon energy
spectra due to the neutrino oscillation for the SK detector. Comparison of the
predicted spectral distortions with the observed muon spectra of the 1-Ring and
2-Ring muon events in the SK detector will help to determine the oscillation
parameters. The results will be applicable to other LBL experiments as well.
