  We examine the sensitivity of the angular distribution of the Higgs boson in
the process of $e^+e^-\to Z H$ and the total cross section in the minimal
noncommutative standard model (mNCSM) framework to set lower limit on the
noncommutative charactristic scale ($\Lambda$). Contrary to the standard model
case, in this process the Higgs boson tends to be emitted anisotropically in
the transverse plane. Based on this fact, the profile likelihood ratio is used
to set lower limit on $\Lambda$. The lower limit is presented as a function of
the integrated luminosity. We show that at the center-of-mass energy of 1.5 TeV
and with 500 fb$^{-1}$ of data, the noncommutative characteristic energy scale
$\Lambda$ can be excluded up to 1.2 TeV.
