Two Cu(I) coordination polymers {[Cu2(bibp)2]·bdc·3H2O}n (1) and {[Cu3(bib)3]·btc·5H2O}n (2), where bibp = 4,4′-bis(1-imidazol-1-yl)biphenyl, H2bdc = terephthalic acid, bib = 1,4-bis(1-imidazol-1-yl)benzene, H3btc = benzene-1,3,5-tricarboxylic acid, are synthesized under solvothermal conditions and characterized structurally. Complex 1 crystallizes in the triclinic form with the space group P-1, and Cu(1) is two-coordinated by two N atoms of bibp, Cu(2) is three coordinated from two N atoms of bibp and one water molecule. Complex 2 crystallizes in the triclinic form with the space group P-1; the copper ions are monovalent and two-coordinated by two N atoms of bib. The bdc and btc ligands are not coordinated with Cu ions, but play important roles in the generation of a 3D supramolecular structure of complexes 1 and 2 via weak interactions respectively.