Task of this thesis is creation of real-time simulation of the water waves. It is implemented on Mac OS X platform using OpenGL. This thesis is based on height map surface. Heigh map is computed by suming of sinusoids with complex, time-based amplitudes. Fast Fourier transformation, Phillips spectrum and gauss random generator are used to solve this problem. The thesis is also implemented on iOS platform and optimized to run on mobile devices thanks to using programmable graphic pipeline and other drawing and computing optimizations.