Three novel coordination polymers, [Zn(suc)(o-bix)]_n (1), [Zn(suc)(m-bix)·H₂O]_n (2) and [Zn₂(suc)₂(p-bix)₂·4H₂O]_n (3) (H₂suc = succinic acid, o-bix = 1,2-bis(imidazol-1-ylmethyl)-benzene, m-bix = 1,3-bis(imidazol-1-ylmethyl)-benzene, p-bix = 1,4-bis(imidazol-1-ylmethyl)-benzene), have been synthesized and structurally characterized by elemental analysis, IR spectroscopy, thermogravimetric analysis, powder X-ray diffraction, and single-crystal X-ray diffraction. These three coordination polymers present various structures originated from auxiliary N-donor ligands with different configurations. Compound 1 shows a 2D network with 4⁴-sql topology. Compound 2 exhibits an infinite chain, and the adjacent chains are extended into a 2D sheet by π-π stacking interactions. Changing the conformation of the N-donor ligand leads to 3 featuring a 3D framework with a novel 4-connected (6⁵·8) topology. In addition, the solid-state photoluminescent properties of compounds 1~3 are investigated.