We calculate the B-model on the mirror pair of X(2N-2)(2, 2,...,2, 1,
1), which is an (N - 2)-dimensional Calabi-Yau manifold and has two ma
rginal operators, i.e. h(1,1)(X(2N-2)(2, 2,...,2, 1, 1)) = 2. In Ref,
1 we have discussed about mirror symmetry on X(N)(1, 1,...,1) and its
mirror pair. However, X(N)(1, 1,...,1) had only one moduli. In this le
tter, we extend its methods to the case with a few moduli using toric
geometry.