The turbulence quantities such as the RMS of vertical wind speed *w, the dissipation rate of kinetic energy to heat *, and the vertical diffusion coefficient KM in the planetary boundary layer under near-neutral stability are considered. In this layer, observations have shown that *w is proportional to the friction velocity u* and decreases approximately linearly with height. Based upon these observations, u* is approximated by where u* is the friction velocity at height z, suffix 0 denotes the value at the surface and =1-z/h , h is the characteristic scale height relating to the thickness of the boundary layer. The turbulence quantities are related to u* by replacing u*0 in the relations given by the similarity theory attributed to Monin and Obukhov (1954), for the constant flux layer, these are as follows; where C with suffix w or KM is constant, k is * constant. The above relations hold fairly well with the observations taken in lower region of the boundary layer below the height of 700 to 1000m approximately.