The title coordination polymer, [Cd(NH2NHCSNH2)(HS)(2)] (n)center dot nH(2)O, has been obtained by self-assembling from the reaction of a methanol/water (volume ratio, 1/1) solution containing cadmium chloride with equivalent amount of succinic acid and thiosemicarbazide. The X-ray crystal analysis reveals that the cadmium atoms are bridged by HS- ligands and mutual sulfur atoms which contribute to formation of the infinite one-dimensional (1D) inorganic-organic chain in a zig-zag way. The second harmonic generation (SHG) response of the complex is much stronger than that of urea.