Experimental and theoretical results on third-order nonlinear optical susceptibility chi(3) and molecular hyperpolarizability (gamma) of oligomeric and polymeric azines are reported for the first time. Molecular hyperpolarizabilities (gamma) of well-defined conjugation length polyazines containing terminal electron-donating amino groups were calculated by employing the ab initio Coupled Perturbed Hartee-Fock with the 6-31G basis set. An azine monomer showed a molecular hyperpolarizability of the order of 14.7x10(-36) esu, which is the largest gamma value ever reported for such a short pi-electron conjugation length. Molecular hyperpolarizability increases significantly as the length of the pi-electron delocalization increases. The gamma values for the dimer, trimer, tetramer, and pentamer azine derivatives were 79.0x10(-36), 228.3x10(-36), 575.9x10(-36), and 903.0x10(-36) esu, respectively. Third-order nonlinear optical susceptibilities chi(3) of polyazine derivatives were determined by third-harmonic generation (THG) measurements. The chi(3)(-3omega; omega, omega, omega) values of an azine monomer and a pentamer were 1.39x10(-13) and 15.3x10(-13) esu, respectively. On the other hand, the chi(3) of a polyazine possessing statistically alternating methyl and propyl substituents on the carbon atoms along the chain was found to be 8.0x10(-12) esu at 1.5 mum. The interesting third-order nonlinear properties of polyazines presumably originate from the multiple quantum-well structure of the main pi-electron conjugated backbone.