Solvothermal reactions of Cd(NO3)(2)center dot 4H(2)O with aromatic polycarboxylic acids in the presence of sodium nitrate led to two acentric three-dimensional (3D) heterometallic inorganic-organic hybrid frameworks, namely, [Me2NH2] [Cd2Na3(2,4-PYDC)(4)]center dot 2H(2)O (1) and [Me2NH2] [CdNa(OH-m-BDC)(2)(H2O)(2)]center dot 2H(2)O (2) (2,4-H2PYDC = 2,4-pyridinedicarboxylic acid, OH-m-H2BDC = 5-hydroxyisophthalic acid). The framework of 1 is constructed by a 3D inorganic Cd-Na connectivity, which resembles a concrete reinforcement structure and features a {CdNa}(n) rod-shaped chain, a {CdNa2}(n) helical chain, and a 20-membered {Cd6Na14} ring. Compound 2 is built up by one-dimensional inorganic {CdNa}(n) rod-shaped chains which are further connected by OH-m-BDC2- ligands, affording a 3D polymeric framework. Compounds 1 and 2 crystallize in acentric space groups, and both display powder second harmonic generation efficiencies approximately 0.8 and 0.7 times, respectively, than that of the potassium dihydrogen phosphate (KDP) powder. In addition, they also exhibit luminescence and potential ferroelectric properties.