This work presents the study of modeling of fluid flow and circular cylinder interaction in order to investigate cross-flow induced vibrations. The flow around cylinder has been extensively investigated because of its wide applications in civil engineering, such as offshore structures, tall towers or stacks or nuclear reactors. The high velocity fluid flow interaction with structural components can induces self-excited vibrations of the components. The instability can lead to the maintenance and operational problems. In order to analyzed flow induced vibration two-dimensional Finite Element Models have been developed using commercial software. Comparison of numerical and analytical results have been done.