A Hamiltonian taking into account both Fermi- and Coriolis-type interactions has been used to reproduce very satisfactorily the available rotational energy levels of the (1 1 0) and (0 3 0) interacting vibrational states of HDO. Then, a least squares fit of the line intensities of the ν1 + ν2 and 3ν2 bands of HDO has provided us with the transformed transition-moment operators of these two bands expanded in a form adapted to the Cs symmetry type of the molecule. The strong influence of the resonances on both line positions and intensities has been exemplified. Finally, the synthetic spectrum of the ν1 + ν2 and 3ν2 hybrid bands of HDO has been computed.