Four new different porous crystalline Cd(II)-based coordination polymers (CPs), i. e., [Cd(mdpt)(2)]center dot 2H(2)O (1), [Cd-2(mdpt)(2)(m-bdc)(H2O)(2)] (2), [Cd(Hmdpt)(p-bdc)]center dot 2H(2)O (3), and [Cd-3(mdpt)(2)(bpdc)(2)]center dot 2.5NMP (4), were obtained successfully by the assembly of Cd(II) ions and bitopic 3-(3-methyl-2-pyridyl)-5-(4-pyridyl)-1,2,4-triazole (Hmdpt) in the presence of various benzendicarboxylate ligands, i.e., 1,3/1,4-benzenedicarboxylic acid (m-H(2)bdc, p-H(2)bdc) and biphenyl-4,4 '-bicarboxylate (H(2)bpdc). Herein, complex 1 is a porous 2-fold interpenetrated four-connected 3D NbO topological framework based on the mdpt(-) ligand; 2 reveals a two-dimensional (2D) hcb network. Interestingly, 3 presents a three-dimensional (3D) rare interpenetrated double-insertion supramolecular net via 2D center dot center dot center dot ABAB center dot center dot center dot layers and can be viewed as an fsh topological net, while complex 4 displays a 3D sqc117 framework. Then, the different gas sorption performances were carried out carefully for complexes 1 and 4, the results of which showed 4 has preferable sorption than that of 1 and can be the potential CO2 storage and separation material. Furthermore, the stability and luminescence of four complexes were performed carefully in the solid state.