The spectral width parameters ε and ν defined with spectral moments exercise little influence on the distribution of zero-crossing wave heights. Quasi-applicability of the Rayleigh distribution to wave heights holds for wind waves regardless of the parameter values of ε and ν. The spectral shape parameter κ related to the autocorrelation of wave envelopes is the governing factor for the distributions of wave heights. Various data of numerical simulations and field observations support the significance of the spectral shape parameter κ.