Rare-earth metal-organic frameworks, [Tb2(pydc-3,5)3(H2O)9]n3nH2O, was synthesized under a hydrothermal condition. Then the composition and the crystal structure of the compound were determined by single-crystal X-ray diffraction, element analysis and IR spectra. Results show that pyridine-3,5-dicarboxylic acid (pydc-3,5) ligand and Tb element form one-dimensional chain-like coordination polymer. Here the central rare-earth metal Tb has two typical coordination environments and each metal atom is nine-coordinated with oxygen atoms. The carboxylate groups of pydc-3,5 ligand provide two kinds of coordination ways as didentate and monodentate. The terbium complex can emit characteristic green fluorescence of Tb3+ and the solid-state photoluminescence spectra show that the complex has excellent fluorescence property.