  In this letter, we propose the extended Lorentz transformation in
noncommutative geometry, as a possibility on prohibition of the Higgs mass.
  Since it is difficult to build the symmetry between the connections $A_{\mu}$
and $H$, the transformation is defined for the differential two-forms. The
parameter of the transformation $\omega$ changes a two-form into other
two-forms. Comparing the coefficients of the two-forms, the transformations are
translated to those of the product fields $F_{\mu\nu}, D_{\mu} H$ and
$HH^{\dagger}$. It shows the invariance of the bosonic Lagrangian explicitly.
