Two new benzimidazolyl-containing complexes have been synthesized by reactions of $Cu^{II}$ salts and 1,2-bis(benzimidazolyl) benzene ($H_2bbbz$) with two different dicarboxylate ligands. When phthalate acid ($H_2pt$) was employed as secondary ligand, a 0D molecular complex Cu$(H_2bbbz)(pt){cdot}(H_2pt)$ (1)was furnished and when the secondary ligand was instead by a linear bridging ligand of terephthalic acid ($H_2tp$) a 1D zipper-like coordination polymer $[Cu(H_2bbbz)(tp){cdot}2(C_2H_5OH){cdot}H_2O]_n$ (2) was obtained, suggesting the structure-direction effect of the secondary dicarbxylate ligand. The preliminary investigation on the spectral properties of the complexes was also presented.