To construct superoxide dismutase (SOD) mimetics, three Cu(Ⅱ) coordination polymers (CPs), [Cu3(L1)4(OH)2(H2O)2]n (CP 1), [Cu(L2)(OH)]n (CP 2) and [Cu(L2)(CH3O)]n (CP 3), in which n is a positive integer, are synthesized by solvothermal method using nicotinate N-oxide (HL1) or isonicotinate N-oxide (HL2) as organic ligands and Cu(OAc)2·H2O as metal salt. Their structures and properties are characterized by single crystal X-ray diffraction, X-ray powder diffraction, infrared spectroscopy, elemental analysis, thermogravimetric analysis and ultraviolet spectroscopy. CPs 1~3 are synthesized under similar solvothermal conditions, but show a multi-dimensional configurations from one-dimensional, two-dimensional to three-dimensional, respectively, exploring the possible mechanisms of the relative position of functional groups in ligand, the coordination mode of ligand and the solvent system on the structural diversity of CPs. Thermogravimetric analysis shows that CPs 1~3 can be stabilized up to 202, 228, and 250 ℃, respectively, which display good thermal stability, and the higher the dimension of CPs 1~3, the better the thermal stability. Nitrotetrazolium blue chloride (NBT) photoreduction test shows that the semi-inhibitory concentration values (IC50) of CPs 1~3 are 0.21, 0.26 and 0.62 μmol/L, respectively, which display certain SOD activity, and the lower the dimension of CPs 1~3, the better the SOD activity. The lower IC50 of CP 1 and CP 2 indicating that they can be used as potential SOD mimetics.