  In this paper we obtain a bound $\Lambda_{\rm NC} < 150$ TeV on the scale of
space-time noncommutativity considering photon-neutrino interactions. We
compute "star-dipole moments" and "star-charge radii" originating from
space-time noncommutativity and compare them with the dipole moments calculated
in the neutrino-mass extended standard model (SM). The computation depends on
the nature of the neutrinos, Dirac versus Majorana, their mass and the energy
scale. We focus on Majorana neutrinos. The "star-charge radius" is found to be
$r^* = \sqrt{|< r^2_{\nu}>_{\rm NC}|} =|3\sum_{i=1}^3 ({\theta}^{0i})^2|^{1/4}
< 1.6 \times 10^{-19}$ cm at $\Lambda_{\rm NC} = 150$ TeV.
