  We study the S=1 Heisenberg antiferromagnet on a spatially anisotropic
triangular lattice by the numerical diagonalization method. We examine the
stability of the long-range order of a three-sublattice structure observed in
the isotropic system between the isotropic case and the case of isolated
one-dimensional chains. It is found that the long-range-ordered ground state
with this structure exists in the range of 0.7 \simle J_2/J_1 \le 1, where J_1
is the interaction amplitude along the chains and J_2 is the amplitude of other
interactions.
