Abstract: Based on the complex potential method in the plane theory of isotropic elasticity, a series solution for the stress field of a finite plate containing an elliptical hole subjected to electrical loads is studied by means of the Faber series expansion. The key point is that the technique of least squares boundary collocation is employed twice. According to this method mentioned above, electric field and stress field can be obtained, respectively. The effects of plate size, hole size, hole distribution and electric field inside the elliptical hole on the stress field around the elliptical hole are studied in detail. Several conclusions valuable to practices are drawn. Finally, the effects of the parameters on the hole stress concentration and the stress intensity factors are studied through several numerical examples. It is shown from the obtained results for special examples that the least squares boundary collocation technique presented has many advantages such as high accuracy and good convergence.