Two 3D cobalt-organic frameworks formulated as [Co-3(2,4-pydc)(2)(mu(3)-OH)(2)](n)center dot 5nH(2)O (1) and [Co-3(2,4-pydc)(2)(mu(3)-OH)(2)(H2O)](n)center dot 7nH(2)O (2) (2,4-pydc = pyridine-2,4-dicarboxylate) have been hydrothermally synthesized and characterized. Both compounds 1 and 2 exhibit the 3D porous frameworks with hydroxyl-bridged metal Delta-chains. However, in comparison with only two crystallographically independent Co-II ions in a unit of 2, three crystallographically independent Coll ions are found in an asymmetric unit of 1, where their Delta-chains are constructed by two types of vertexes sharing quadrangles formed via edge-sharing triangles. Magnetic studies show that 1 exhibits spin-canted antiferomagnetism and a field-induced spin-flop transition while 2 behaves as a normal antiferromagnet. The magnetic properties are largely retained by the porous frameworks of dehydrated 1 and 2 compounds. Gas adsorption measurements indicate that both the dehydrated compounds absorb H-2 into their pores.