  In noncommutative geometry (NCG) the spectral action principle predicts the
standard model (SM) particle masses by constraining the scalar and Yukawa
couplings at some heavy scale, but gives an inconsistent value for the Higgs
mass. Nevertheless, the scalar sector in the NCG approach to the standard
model, is in general composed of two Higgs doublets and its phenomenology
remains unexplored. In this work, we present a type-II two-Higgs-doublet model
in NCG, with a SM-like Higgs mass compatible with the 125~GeV experimental
value and extra scalars within the alignment limit without decoupling with
masses from 350 GeV.
