  The values of the Higgs mass are obtained for two possibilities of extending
the standard model in a way compatible with the existence of a noncommutative
structure at high energies. We assume the existence of a big desert between the
low energy electroweak scale and the high energy scale $\Lambda = 1.1\times
10^{17}$ GeV, where noncommutative features become relevant. We conclude that
it is extremely difficult to depart from the Higgs mass value $ m_H=
175.1^{+5.8}_{-9.8}$ GeV obtained from noncommutative geometry for the standard
model with three generations only.
