As a commune, Cobquecura is a third-level administrative division of Chile administered by a municipal council, headed by an alcalde who is directly elected every four years.
Within the electoral divisions of Chile, Cobquecura is represented in the Chamber of Deputies by Jorge Sabag (PDC) and Frank Sauerbaum (RN) as part of the 42nd electoral district, (together with San Fabián, Ñiquén, San Carlos, San Nicolás, Ninhue, Quirihue, Treguaco, Portezuelo, Coelemu, Ránquil, Quillón, Bulnes, Cabrero and Yumbel).