<p>Exact solutions to problems on the displacement and rotation of the rigid circular (disk-like) inclusion located at the separation boundary of two electroelastic transversely isotropic half-spaces identical in properties are obtained for two cases of the boundary conditions at the separation boundary: non-extensible boundary and smooth contact. Analytical expressions are obtained for the stress distribution below the disk-like inclusion. In studying, the solution of the static equations of electroelasticity for transversely isotropic body has been represented in terms of harmonic functions. In the following, the boundary problems have been reduced to the consideration of paired integral equations. From the analytical expressions found as partial cases, the formulas follow for estimating the stress state below the circular inclusion placed at the separation boundary of two purely elastic transversely isotropic half-spaces. The numerical studies are carried out, the influence of the properties of electrical materials and the type of contact interaction on the stress distribution below the rigid disk-like inclusion during its displacement and rotation is analyzed.</p>