The authors have studied support mechanisms for the machining of thin-walled workpieces. Previous studies have shown that the newly proposed pivot support has a vibration suppression effect on flat plate workpieces. This report clarifies the guideline for determining the placement interval for deploying this support on a cylindrical workpiece. Also, a machining test was conducted to compare the damping effect of pivot support with that of conventional rigid body support. As a result, it was found that the pivot support has an equivalent vibration suppression effect as the conventional support has. By using the proposed support, installation can be simplified while maintaining the damping effect.