  We consider the noncommutative standard model based on $SU(3)\times
SU(2)\times U(1)$. We study the gauge transformation of right handed neutrino
and its direct interaction with photon in the noncommutative space-time. We
show that the massive Dirac neutrinos, through the Higgs mechanism, can not
accommodate this extension of the standard model; while the massive Majorana
neutrinos are consistent with the gauge symmetry of the model. The
electromagnetic properties and the dispersion relations for the neutrino in the
noncommutative standard model is examined. We also compare the results with the
noncommutative standard model based on $U(3)\times U(2)\times U(1) $.
