A class of π-conjugated organic synthons, namely 1, 3, 5-tris(2-alkylthiolpyrimidinyl)benzene (TMPB: alkyl=Me; TEPB: alkyl=Et; TPPB: alkyl=n-Pr) was designed and prepared, which only differ in the length of linear side chain. It was found that these organic synthons can keep a quasi-planar conformation even coordinated to metal ions due to intramolecular C–H⋯N hydrogen bonds. Assembly of these organic synthons with CuX2 (X=Cl, Br) generated four coordination polymers: [(TPPB)CuCl2]n (1), {[(TMPB)CuCl2]·H2O}n (2), [(TPPB)CuBr2]n (3), [(TEPB)CuBr2]n (4), among which 1–3 exhibit one-dimensional coordination ribbon structure and 4 shows a two-dimensional wave-like coordination network. Although 1–3 exhibit similar assembly hierarchy going from 1-D ribbon through 2-D supramolecular layer to 3-D supramolecular architecture, the side-chain-effect can be clearly seen which modulates intra-chain or inter-chain Cu⋯Cu distance; inter-chain C–H⋯S supramolecular interactions and even the co-existence of guest water molecules. The room-temperature direct-current (dc) conductivity of 1–4 is measured about 9.6×10−12Scm−1, 2.9×10−9Scm−1, 2.6×10−12Scm−1 and 5.7×10−11Scm−1, respectively, wherein the highest electronic conduction of 2 is assumed to be pertinent to the existence of unique inter-chain C–H⋯S interactions. Furthermore, the complex impedance technique reveals that 2 exhibits a alternate-current (ac) conductivity of 4.3×10−6Scm−1 at room temperature, which almost decreases linearly with the rising temperature. The higher ac conductivity of 2 against its dc conductivity is assumed to be largely contributed by proton-conduction as the matter of fact that there exist in 2 guest water molecules and water-molecule-associated O–H⋯Cl hydrogen bonding network. The unusual temperature-dependent ac conductivity of 2 is possibly due to the temperature-sensitive O–H⋯Cl hydrogen bonding network, which is responsible for proton transporting.