Five new coordination polymers [Cd(L)(HPBDA)(H2O)] (1), [Cd2(L)2(PBDA)(H2O)2]·3H2O (2), [Cd2(L)2(PBDA)] (3), [Cd3(L)2(MBDA)2(H2O)2]·2H2O (4) and [Cd2(L)(1,2,3-BTC)(H2O)]·H2O (5) were obtained by reactions of 3,5-di(1H-imidazol-1-yl)benzoic acid (HL) with varied Cd(II) salts in the presence of corresponding auxiliary ligands of 1,4-benzenedicarboxylic acid (H2PBDA), 1,3-benzenedicarboxylic acid (H2MBDA) and 1,2,3-benzenetricarboxylic acid (1,2,3-H3BTC), respectively. Complex 1 with partial deprotonated HPBDA− has one-dimensional (1D) chain structure, while complexes 2 and 3 are interpenetrated three-dimensional (3D) frameworks with InS and dmc topologies, respectively. Complex 4 is a (4,6)-connected 3D framework, and 5 based on tetranuclear Cd(II) secondary building units (SBUs) is a two-dimensional (2D) network. The thermal stability and photoluminescence property of the complexes were investigated.