Abstract: When the gustness is small, the standard deviation and correlation function togethen with structure function of wind speed fluctuations may be expressed in terms of horizontal eddy components to a moderate degree of approximation and further the time correlation of wind speed fluctuations may be used instead of space correlation. In case of gustness usually occured in the atmosphere, the computed correlations of wind speed fluctuations by the expression given by the anther are is good agreement with the observed values of correlations of eddy component along the mean direction based on the data given by H. A. Panofsky and H. E. Cramer. The validity of the basic assumptions introduced by the anther in computing various expression has also been discussed briefly from the point of view of atmospheric turbulence.