An optimal planning of future wireless networks is fundamental to satisfy rising traffic demands jointly with the utilization of sophisticated techniques, such as OFDMA. Current methods for this task require a static model of the problem. However, uncertainty of data arises frequently in wireless networks, e. g., fluctuat- ing bit rate requirements. In this paper, robust optimization is applied to deal with uncertainty in the framework of optimization models. We propose a mathematical formulation for the planning of wireless networks with demand uncertainy. Further- more, computational results are presented to compare the robust formulation to its deterministic counterpart. The price of robustness is demonstrated regarding key parameters of networks that are subject to uncertainty.