The plane elasticity problem of a point force and a dislocation acting at a point outside an elliptic inclusion in an infinite plate was solved by Stagni in 1983. However, in the present study, it is found that the solution by Stagni does not converge for the case in which the point of action of the point force and dislocation is near the interface. A solution applicable to all cases, including the case where the point force and dislocation are applied at a point on the interface, is obtained in this paper in the form of functions plus an infinite series. By carefully defining the functions, the infinite series shows a good convergence.