In this report, gamma distribution is used for flaw size distribution, and their parameters are estimated by the most likelihood method by using the flaw size data reported by Nakamura et.al. Taking the logarithms of its probability density function, a term in proportion to the flaw size is several orders of magnitude larger than the other terms. Therefore, linearization of flaw size distribution can be made by neglecting the other terms. To compare the experimental data, the gamma distribution parameters are used for the linearization, so this parameter expresses the character of flaw size distribution well. To consider about the relation between the fracture strength and flaw size distribution, the fracture strength and the shape parameter of gamma distribution are discussed.