Three complexes, namely [Cu(dpt)2(H2O)4]·2H2O (1), [Cu3I2(dpt)] n (2) and [Cu6Br3(dpt)3] n (3), have been obtained from the reactions of different copper salts with 1H-3,5-bis(4-pyridyl)-1,2,4-triazole (Hdpt). Complex 1 is mononuclear such that the CuII atom exhibits an octahedral coordination geometry involving monodentate dpt ligands, being synthesized from CuII nitrate and Hdpt at ambient temperature, while the cuprous halide cluster-based coordination polymers 2 and 3 were prepared by solvothermal reactions of CuI or CuBr with Hdpt. Complex 2 consists of [Cu3I2] n chains, which are further connected by the μ 4-dpt bridges to form a 4,6-connected three-dimensional coordination polymer. Complex 3 is a 3,3,9-connected net based on [Cu6Br3] building blocks, linked by μ 3-dpt bridges. The photoluminescence properties of complex 2 in the solid state at ambient temperature have been investigated. Syntheses and structures of three complexes [Cu(dpt)2(H2O)4]·2H2O (1), [Cu3I2(dpt)] n (2) and [Cu6Br3(dpt)3] n (3) (Hdpt = 1H-3,5-bis(4-pyridyl)-1,2,4-triazole) are described, in which the effect of the rich connectivity of the cuprous halide clusters, supported by the changeable coordination modes of dpt ligand, is revealed.