Anion exchange membrane (AEM) water electrolysis emerges as a promising method for hydrogen production through electricity. A pivotal advantage of AEM water electrolysis is its capacity to substitute conventional noble metal electrocatalysts with cost-effective transition metal catalysts. The focus of ongoing research into the development of AEM is to achieve optimal value by striking a balance between low cost and high performance. For this purpose, this study delves into the mathematical modeling of an anion-exchange membrane, encompassing electrochemical reactions and mass transfer phenomena. The mathematical equations of the zero-dimensional, steady-state model were solved in the MATLAB environment. A comprehensive parametric study was conducted to investigate the effect of various parameters such as activation potential coefficients, membrane thickness, and molarity of KOH solution on the performance of the AEM water electrolyzer. The performance metric considered is the efficiency of the AEM electrolyzer. The results show that molarity and exchange current density are proportional to efficiency. This research aims to provide valuable information and guidance to researchers working in the AEM water electrolysis field.