The kinetic model of the epitaxial growth is developed that takes into acco
unt the existence of the Schwoebel diffusion barriers at the edges of two-d
imensional islets. The kinetic equations are derived that describe the laye
r epitaxial growth in the presence of the Schwoebel barriers depending on t
he deposition conditions. The results of numerical integration of the equat
ions demonstrate the influence of the height of the Schwoebel barrier on th
e kinetics of the transition from the smooth layer-by-layer growth to the r
ough three dimensional growth. It is shown that the influence of the barrie
r is governed not only by its height but also by the energy of the diffusio
n activation on the smooth terrace.