Two new IB group metal coordination polymers, namely, {[Cu3(TFMIDC)2(H2O)2] · 4H2O}n (I) and [Ag2(HTFMIDC)(Py)]n (II) (H3TFMIDC = 2-(trifluoromethyl)-1H-imidazole-4,5-dicarboxylic acid, Py = pyridine), have been successfully prepared and structurally characterized by different techniques including single crystal X-ray diffraction (CIF files CCDC nos. 1545402 (I) and 1545403 (II)), IR spectra, and powder X-ray diffraction. Compound I features an interesting two-dimentional (2D) sheet containing 1D left-handed and right-handed helical chains, while compound II exhibits an infinite 1D zig–zag chain structure. Both two coordination polymers further stack through weak interactions to give rise to 3D supramolecular frameworks. Furthermore, the thermal stabilities of I and II as well as the photoluminescent property of II were also studied.