Attempt is described to use a model approach to description of a spatial structure of the turbulence in the region of large spatial scales. The idea of the approach is in the determination of the spectral tensor based on measurement data or a model setting of one-dimensional fluctuation spectra of the three wind velocity components. The spectral tensor obtained in such a manner is used to predict spatial coherence of the velocity components fluctuating in the plane perpendicular to the mean wind direction. Comparison of the predicted and experimental coherences is presented. The applicability and limitations of this model of spectral tensor of the anisotropic velocity field for homogeneous turbulence in the near-ground atmospheric layer is analyzed based on the data obtained.