  The finite XXZ model with boundaries is considered. We use the Matrix Product
Ansatz (MPA), which was originally developed in the studies on the asymmetric
simple exclusion process and the quantum antiferromagnetic spin chain. The MPA
tells that the eigenstate of the Hamiltonian is constructed by the
Zamolodchikov-Faddeev algebra (ZF-algebra) and the boundary states. We adopt
the type I vertex operator of $U_q(\hat{sl}_2)$ as the ZF-algebra and realize
the boundary states in the bosonic $U_q(\hat{sl}_2)$ form. The correlation
functions are given by the product of the vertex operators and the bosonic
boundary states. We express them in the integration forms.
