  Using data collected with the ISTRA+ spectrometer during the 2001 run of the
U-70 proton synchrotron in Protvino, we report the first observation of the
radiative kaon decay K- -->mu-pi0gammanu. We find Br(Kmu3g)/Br(Kmu3) for two
regions 5<Eg<30 and 30<Eg<60 MeV consistent with theoretical predictions. The
measured angular distribution asymmetry for the first region,
  0.093+/-0.141, is two standard deviations away from the theoretical
prediction of 0.354. The measured asymmetry in the T-odd variable is
-0.03+/-0.13.
