Abstract: This paper applies stochastic finite element method based on local averages of random fields to analyse statistical features of bending stress intensity factors for cracked plates with uncertain parameters. The stiffness matrix of a hybrid crack-tip singular element is first derived, then by use of first-order Taylor expansion the mean and variance of stress intensity factors are formulated. As an example the effects of uncertainties of Young's modulus. Possion's ratio and plate thickness on plate bending s...