This paper contains an exact two-dimensional solution in series form for the stresses and displacements around a circular inclusion perfectly bonded to a semi-infinite elastic plate. At infinity the plate is assumed to be in a state of uniform tension parallel to the straight boundary. It should be emphasized, however, that the method of solution presented may be applied to other types of loading. Numerical results are given for the variation along the axis of symmetry of the normal stress which is parallel to the straight boundary, for a given geometry, and various ratios of the elastic moduli of the plate and the inclusion. Finally, the known solutions corresponding to an infinite plate with a circular inclusion and to a semi-infinite plate with a circular hole are obtained as limiting cases.