Three new 2D/3D supramolecular architectures derived from Cu-organic subunits and Keggin anions, [CuII2(biz)8(HPMoVI10MoV2O40)(H2O)2]center dot 2H2O (1), [CuI4(biz)8(SiW12O40)]center dot 2H2O (2) and [CuI2(dmbiz)4(Hdmbiz)2(SiW12O40)] (3) (biz = benzimidazole, dmbiz = 5, 6-dimethyl benzimidazole), were obtained under hydrothermal conditions. Single crystal X-ray diffraction analysis reveals that compound 1 has two kinds of [CuII(biz)2]2+ cations, which are further extended by Keggin anions into a 2D (4, 8)-connected supramolecular network by hydrogen bonding interactions. In compound 2, four types of [CuI(biz)2]+ subunits link the [SiW12O40]4 anions to form a 3D (2, 6)-connected supramolecular structure. Compound 3 shows a 3D supramolecular network with a NaCl-type topology constructed by [CuI(dmbiz)2]+ subunits, anions, and discrete [Hdmbiz]+ cations. Moreover, the electrochemical and photocatalytic properties of compounds 1 and 2 were investigated.