The analytical solution of plane problemfor a bi-material plate with circular hole is obtained. At a boundary of hole an external load is applied. The constant stresses and the angles of rotation are given at infinity. Method of Kolosov — Muskhelishvili complex potentials and method of superposition are used for the solution of the problem. The problem is reduced to the solution of the Fredholm integral equation of the second kind. The proximity of a hole to interface renders essential influence on the magnitude of stresses in a vicinity of a hole and also on the magnitude of stresses on an interface. In Matlab environment the program is developed for the solution of the integrated equation and the computation of the stresses.