The commune is located in the area surrounding Seno Skyring, a sea inlet north of Riesco Island.

[3] As a commune, Río Verde is a third-level administrative division of Chile administered by a municipal council, headed by an alcalde who is directly elected every four years.

[1][2] Within the electoral divisions of Chile, Río Verde is represented in the Chamber of Deputies by Juan Morano (PDC) and Gabriel Boric (Ind.)

as part of the 60th electoral district, which includes the entire Magallanes y la Antártica Chilena Region.

and Carolina Goic (PDC) as part of the 19th senatorial constituency (Magallanes y la Antártica Chilena Region).