<p>Inflatable rubber dams, as usual temporary structures, are flexible cylindrical structures made of rubberized materials inflated by air, water or both air and water, attaching to a rigid base, which can be inflated, when needed, otherwise deflated. Excessive deformation of rubber dams as flexible membranes, caused by internal and external loads complicates the governing equations of the dam behavior, until equilibrium shape is established. The present study subjects to numerically modeling the behavior of inflated rubber dams, solving the prevailing equations within the dynamic response of the system of linear elements, resulting in the balanced cross-section of the rubber dam. The central difference method (CDM) was employed to solve the governing equations of the linear dynamic response of the system of finite elements. The two-dimensional behavior of the rubber dam was analyzed under hydrostatic and overflow conditions. In the overflow situation, the water free-surface profile was calculated using the Bernoulli equation and final shape of the rubber dam was obtained considering fluid–structure interactions. Comparing the obtained results with those reported in former experimental and numerical studies, the present findings are verified reasonably, suggesting that the present numerical method precisely predicts the nonlinear behavior of the inflatable rubber dams.</p>