  We construct new three-family ${\cal N}=1$ supersymmetric Pati-Salam models
from intersecting D6-branes with original gauge group ${\rm U}(4)_C \times {\rm
USp}(2)_L \times {\rm U}(2)_R$ on a Type IIA $\mathbb{T}^6/(\mathbb{Z}_2\times
\mathbb{Z}_2)$ orientifold. We find that replacing a ${\rm U}(2)$ with a ${\rm
USp}(2)$ group severely restricts the number of three-generation supersymmetric
models such that there are only five inequivalent models. Exchanging the left
and right sectors, we obtain five dual models with gauge group ${\rm U}(4)_C
\times {\rm U}(2)_L \times {\rm USp}(2)_R$. These ten models have different
gauge coupling relations at string scale. The highest wrapping number is 4, and
one of the models contains no filler O6-planes. Moreover, we discuss in detail
the particle spectra, the composite particles through strong coupling dynamics,
and the exotic particle decouplings. Also, we study how to realize the
string-scale gauge coupling relations in some models.
