The invention relates to a lug boss grouping damping structure for steam turbine vanes. The lug boss grouping damping structure comprises the vanes and lug bosses arranged on the vanes, wherein each vane comprises a columnar inner arc side lug boss and a columnar back arc side lug boss, the upper parts of the inner arc side lug boss and the back arc side lug boss are cylinders with elliptical cross sections, and the two cylinders share the same axis and are mutually symmetric about the axis; the elliptical cross sections have the macro axis more than or equal to 15 mm and less than or equal to 25 mm, and the minor axis t more than or equal to 5 mm and less than or equal to 9 mm; work planes are formed at the tops of the cylinders of the inner arc side lug boss and the back arc side lug boss; and the two work planes are mutually parallel. The lug boss grouping damping structure can be used in industrial steam turbine low-pressure stage vanes, has the self vibration suppression property, and can reduce the dynamic stress of the vanes and guarantee long-time safe and reliable operation of the vanes.