The accuracy of applanation tonometry readings before and after hyperopia correction surgery is discussed. The elastic system cornea-sclera is presented as two conjugate transversely isotropic spherical segments loaded with internal pressure in the finite element software ANSYS, Inc. The cornea is simulated as multi-layered transversely isotropic elastic shell and the sclera is modelled by a transversely isotropic homogeneous elastic shell. In order to estimate changes in the intraocular pressure readings obtained by Goldmann and Maklakoff applanation tonometers after hyperopia surgery the problem of deformation of the cornea under the load with a flat base is considered. The intraocular pressure readings before and after the surgeries for two types of tonometers are compared for the same value of true intraocular pressure.