The present work follows previous modelling efforts of homogeneous str
atified turbulence, using a statistical Eulerian model, with a high le
vel of description of anisotropy, and a kinematic simulation model for
computing Lagrangian dispersion properties of turbulence. Here, both
approaches are coupled, yielding results for the dispersion of a singl
e passive particle. The first results obtained by our model qualitativ
ely agree well with the one-particle dispersion ones obtained from Lar
ge Eddy Simulations of stationary stratified turbulence.