This paper addresses the hull responses near resonance in beam seas. A 2-D analysis is performed, and the hull form is free to roll and to move in the vertical direction (2-DOF). A cell center based finite volume method is applied for solving the Navier-Stokes equations. The numerical scheme is utilized for analyzing the flow field around the hull section as well as for predicting the wave and floating hull interaction. The effect of the hull corner geometry and the effectiveness of using bilge keels on roll damping are examined. The results show that the maximum roll response is reduced when the hull is free to heave and to roll as compared to the roll-only case (1-DOF). In general, the maximum hull response decreases when the shed vortices are induced by the sharp edge, and the reduction increases as the keel width increases.