Based on a quasi-stationary model, the possibility of translational galloping of a prism having a cross section in the shape of a pentagon has been experimentally and numerically investigated. In numerical calculations, the 2D flow was studied, and in an experiment in a wind tunnel, a prism segment with end plates was studied. Both methods gave consistent results, according to which it was found that near the zero angle of attack a prism could oscillate. The rotational oscillations of the pentagonal prism were recorded by strain gauges. It was found that, depending on the flow velocity and the equilibrium angle of attack, either steady-state oscillations with a constant amplitude or damped oscillations are realized.