Abstract: Using the complex potential method in the bending theory of elasticity for an anisotropic body, the stress distribution in an infinite plate containing multiple elliptical holes is proposed with the help of Faber series expansion and conformal mapping. The effects of the relative distance between holes, total number of holes, the ellipticity of holes and the material system of the plate are studied in detail. Some useful conclusions are drawn. Results indicate that the present method has many advantages such as high accuracy, good convergence and great convenience.