Numerical analysis of static and dynamic wind effects on civil engineering structures was performed. Long-span suspension bridges are flexible structures that are highly sensitive to the action of the wind. Aerodynamic effect often becomes a governing factor in the design process of bridges and aeroelastic stability boundary becomes a prime criterion which should be confirmed during the structural design stage of bridges because the long-span suspension bridges are prone to the aerodynamic instabilities caused by wind. If the wind velocity exceeds the critical velocity that the bridge can withstand, then the bridge fails due to the phenomenon of flutter. Buffeting caused by turbulence results in structural fatigue, which could lead to the failure of a bridge. Navier-Stokes equations are used for the aeroelastic analysis of bridge girder section. The aeroelastic simulation is carried out to study the aeroelastic stability of bridges using both Computational Fluid Dynamic (CFD) and Computational Structural Dynamic (CSD) schemes. The Great Belt East Bridge (GBEB) is examined for validation of present schemes because there has been a lot of comparison results including the wind tunnel test data and numerical data on this bridge. In this study, flutter analysis was performed using an aeroelastic model of 2-Degree of Freedom (DOF) with heave and pitch. Critical flutter velocities were computed for bridges with different stiffness. It was confirmed that the critical flutter velocity of bridge girder section was sensitive to the change of structural stiffness. Flutter analysis using 3-DOF model with lateral, heave and pitch was also performed. The aeroelastic results show that the flutter frequency increases when the lateral motion is included. Buffeting analysis was also carried out using 3-DOF model.