Abstract The first hyperpolarizability(£]) of five charge-transfer molecules are determined using the hyper-Rayleigh scattering (HRS) technique at two excitation wavelengths : 1064nm and 1907nm. The 1064nm excitation wavelength is derived from a Nd: YAG pulsed laser, and the 1907nm excitation wavelength is obtained by shifting the 1064nm laser light by stimulated Raman scattering of pressurized H2 gas. Four of the five samples contains thiophene and thiazole are synthetized by Prof. Shu Ching-Fong at the National Chiao Tung University (NCTU) and the other sample is synthetized by Prof. Hong, Jin-Long at the National Sun Yat-sen University (NSYSU). The measured £] values are used to calculate the intrinsic molecular hyperpolarizabilities using the two-level model previously developed by Oudar and Chemla. The results are related to molecular structure.