  We consider the construction of $SU(2)_{L}\otimes SU(2)_{R}\otimes SU(4)$
partial unification models as an example of phenomenologically acceptable
unification models in the absence of supersymmetry in non-commutative geometry.
We exploit the Chamseddine, Felder and Fr\"ohlich generalization of the Connes
and Lott model building prescription. By introducing a bi-module structure and
appropriate permutation symmetries we construct a model with triplet Higgs
fields in the $SU(2)$ sectors and spontaneous breaking of $SU(4)$.
