The analytic solution of plane problem for a bi-material plate with elliptic hole is obtained and the stress analysis is examined at the interface. The constant stresses are given at infinity. Method of superposition and method of Kolosov-Muskhelishvili complex potentials are used for the solution of the problem. The problem is reduced to the solution of the Fredholm integral equation of the second kind. In Matlab environment the program is developed for the solution of the integrated equation and the computation of the stresses. Submitted stress calculations on the interface of two half-planes for different parameters of the problem. The graphics are built on the interface.