Zenith luminance converting factor is the characteristic parameter of sky luminance distribution,which is not related to regions.The fractal dimension value of the change process of zenith luminance converting factor shows that the sky can be divided into four types as CIE standard clear sky,pseudo- clear sky,pseudo- overcast sky and CIEstandard overcast sky.This is more suitable for the study of sky lumimance distribution with the exception of a few particular weather conditions.