The clipped Gaussian distribution is a probability density function of instantaneous scalar, which is commonly used in turbulent combustions. However, it is diffcult to determine its unknown parameters. A theoretical analysis is made for the clipped Gaussian distribution in this paper. Some of its properties are discussed. When the mean square of the fluctuating scalar (*g*) becomes large, the unknown parameters *μ* and *σ* have a linear relationship. Thus the determination of the unknown parameters is reduced to the determination of a single parameter. For general values of *g*, the contour lines of the averaged scalar (*f*) are extracted and the interpolation along them is performed. The unknown parameters *μ* and *σ* are determined rapidly under different values of *f* and *g*. A data table is established.