In this paper, the class of pseudo-commutative
po-semigroups is studied.  It is noted that pseudo-commutative
po-semigroups are special weakly commutative po-semigroups. We will show
that a pseudo-commutative po-semigroup can be decomposed into a
semilattice of Archimedean po-semigroups and such decomposition may not
be unique.