A study of high-resolution (0.006 cm-1) Fourier transform absorption spectra of O-16(3) around 3450 cm-1 has been performed, leading to the first analysis of the nu1 + 2nu2 + nu3 and 2nu2 + 2nu3 bands of this molecule. To increase the absorption strength of these very weak bands a White cell with path lengths of up to 36 m and pressures from 40 to 55 Torr was used. The rotational energy levels of the (121) and (022) vibrational states deduced from observed spectra have been satisfactorily reproduced using a Hamiltonian matrix which takes explicitly into account the Coriolis interaction between (121) <--> (022) and (121) <--> (220) and Darling-Dennison interaction between (022) <--> (220). Furthermore about 60 and 20 line intensities, respectively, for the (121) and (022) bands were measured with an accuracy of about 6 and 12%, leading to the determination of the nu1 + 2nu2 + nu3 and 2nu2 + 2nu3 vibrational transition moments. Finally, a complete list of line positions, intensities, and lower state energies for both bands has been generated. (C) 1994 Academic Press, Inc.