Vision is a vitally important sense; therefore, it is essential to study and evaluate the eye in order to predict and treat the related diseases. For this reason, researchers and engineers have always designed many devices in order to recognize the structure and behavior of the eye, and have modeled different parts of the eye in order to better predict and understand it. The Intraocular Pressure is also one of the most important factors affecting the eyesight and, therefore, its value should always be within a specified range. But, the estimated pressure by these devices is not sufficiently precise and is dependent on various factors including material properties, thickness, curvature, and boundary conditions of the cornea. The purpose of this study was to investigate corneal biomechanical behavior in response to the Corvis tonometer to correct the pressure estimation by considering the affecting factors. To this end, the tonometry test was simulated for a contact lens with predefined geometry, properties, internal pressure, and boundary conditions. Then, in a variety of internal pressures, geometries and properties, the relationship between the applied internal pressure and the parameters reported by the tonometer was studied; then, the effect of inputs on these parameters was evaluated. Subsequently, finite element simulations were converted to surrogate models using stochastic modeling theory. Using these models, the Corvis parameters were calculated in a fraction of a second, and analysis of these parameters introduced suitable indicators for diagnosis and medical prognosis. Afterward, with a reverse trick, the surrogate models were used and the applied internal pressure was extracted as a black-box function of other factors. In this way, for each contact lens, the true internal pressure and the pressure reported by Corvis ST will be comparable and correctable. This process provides a novel and quick way for IOP measurement to ophthalmologists. At the end of this research, by performing a suitable statistical sensitivity analysis, the effect of factors such as thickness, curvature and material properties on the Corvis parameters was studied and similarly, the effect of all parameters on the IOP estimation process was investigated. This analysis showed that, for more accurate measurement of the applied internal pressure, the deflection amplitude, the radius of curvature, and the applanation time should be measured with a higher accuracy. The deflection amplitude is also influenced by the radius of curvature and thickness and the applanation time depends on the central thickness and the material model, respectively. Keywords Intraocular Pressure, IOP estimation, Corvis ST, Cornea, Contact lens, Stochastic modeling, Sensitivity analysis