The [Co-III(Hbim)(3)] ((1) under bar) (Hbim = 2,2'-biimidazolate monoanion) is synthesized and its crystal structure is characterizcd by X-ray crystal analysis. (Crystal data: monoclinic, C2/m (No. 12), FW = 970.71, a = 17.144(5) Angstrom, b = 30.341(6) Angstrom, c = 16.422(5) Angstrom, beta = 104.38(2)degrees, V = 8274(3) Angstrom(3), Z = 8). The crystal structure comprises assemblies of two-dimensional honeycomb sheet structures built Lip by alternate arrangements of Delta and Delta binary optical isomers of the building block (1) under bar. The two-dimensional sheets are formed by complementary intermolecular hydrogen bonds of Hbim(-) ligands containing the building block (1) under bar, interestingly, two-dimensional sheets is stacked along c axis to form the microporous crystal with large channels.