Abstract: In this paper the turbulent exchange in the surface layer of the stable atmospere is discussed. Firstly, taking the effiect of thermal stratification on turbulence, we derived a new form of the function of Richardson number from the energy balance equation of the turbulent atmosphere. Secondly, we further proposed a reasonable function, which describes the vertical distribution of elements in the stable atmospheric surface layer. Thirdly, we give some graphs which allow us to calculate accurately and quickly the turbulent characteristic values, such as turbulent austousch based on observed data. For comparison with others, some calculations based on observed data are furnished. It shows that our treatment is reasonable and our results are better than Мопннобхов's results.