The fracture energy of concrete for different cases is calculated by means of three-point bend tests,and large sample tests of one case are done. Based on the test data of this experiment and other articles,statistical model about fracture energy of two factors,concrete strength and maximum aggregate size,are established. Compared the statistical model with other models,the ability of prediction is better than other models,and it can prove rationality of test data indirectly. Statistical analysis system (SAS) is applied to compare four probability distribution and five goodness-of-fit tests,the most suitable probability distribution of test data is lognormal distribution. Based to lognormal distribution,the characteristic value of fracture energy is equal to 66.0 N/m,the reliability is not less than 95%.