In this study, we conducted stress and strain analyses on the eyeball under pressure using the finite element simulation software Ansys. The eyeball model was constructed using SolidWorks, and additionally, it simulates a contact-type tonometer, applying pressure to the eyeball through probe force variations and calculating the pressure changes inside the eyeball. Initially, the cornea, sclera, ciliary body, suspensory ligaments, aqueous humor, and vitreous humor were combined using SolidWorks. Subsequently, the model was imported into Ansys for meshing, boundary setting, and simulation calculation. Finally, the analysis results were extracted using the Ansys postprocessor and the simulated data were validated against actual measurement data to ensure accuracy. Material properties necessary for the eyeball under pressure analyses were configured, with the Mooney–Rivlin hyperelastic material being selected. During compression, the cornea and sclera primarily absorbed the concentrated load after compression. Pressure was applied using a probe to observe variations in stress and strain concerning the applied force and intraocular pressure. Three probe materials (rubber, titanium alloy, and glass) were chosen for comparative simulation analyses.