The mathematical models of the pressurized eyeball are studied. The eyeball is represented as two joint segments (the cornea and the sclera) of different geometric and mechanical properties. Both the cornea and sclera are considered as spherical segments of nonuniform thicknesses. Finite element simulation is performed by means of the engineering simulation software ANSYS Inc. Short time effect of fluid (medication) administration into the eye is investigated. Numerical results of two models (with and without separating strip) are compared. Results obtained with the finite element models of a composed eyeball shell are compered with the shell-based model of a pressurized spherical shell. If the strip separating the inner volume of the eye is taken into account, the difference of the pressures inside subcorneal and subscleral volume is about 1–2 mm Hg. If a single inner volume is considered, the inner pressure elevates to the average value for two subspaces from the model with the strip.