  The anisotropic t-J model ($U_q(gl(2|1))$ Perk-Schultz model) with staggered
disposition of the anisotropy parameter along a chain is considered and the
corresponding ladder type integrable model is constructed. This is a
generalisation to spin-1 case of the staggered $XXZ$ spin-1/2 model considered
earlier. The corresponding Hamiltonian is calculated and, since it contains
next to nearest neighbour interaction terms, can be written in a zig-zag form.
The Algebraic Bethe Ansatz technique is applied and the eigenstates, along with
eigenvalues of the transfer matrix of the model are found.
