This article presents a crack interacting with two circular inclusions embedded in an infinite plate under a remote uniform load.Based on the method of conformal mapping and analytical continuation theorem in conjunction with alternation technique,the solutions to plane elasticity problems for three dissimilar media are derived explicitly in a series form.For a limiting case when material properties of two circular inclusions are identical,the derived analytical solutions are reduced to exactly the same results of the corresponding single inclusion problem.The derivation of logarithmic singular integral equations by introducing the complex potential functions of dislocation along the crack border is made.The stress intensity factors(SIFs) are then obtained numerically in terms of the dislocation density functions of the logarithmic singular integral equations.The stress intensity factors (SIFs) as a function of the dimensionless crack length for various material properties and geometric parameters are shown in graphic form.