The statistical distribution of wavelength is directly derived from a
two-dimensional and spatially homogeneous Gaussian wave field. The pre
sent result differs from both the result of Rayleigh distribution and
Sun's result (1988b) which is transformed through the period distribut
ion derived from a two-dimensional and stationary Gaussian wave field.
A laboratory experiment shows that the present result is more consist
ent with the observations in the wave tank than the others.