The paper describes a new approach to analysis of the experimental data for the first triad (1, 0, 0), (0, 2, 0), (0, 0, 1) of interacting vibrational states of H2O molecule. Analysis is carried out with the use of new models for an effective Hamiltonian of H2O molecule. That enables one to significantly increase (as compared with the preceding analysis) the number of experimental energy levels (up to the rotational quantum numbers J = 30) to be fit and to improve the quality of this fitting. A series of highly excited rotational energy levels calculated is presented for the state (0, 2, 0) connected with a large-amplitude vibration.