Rudolf Gnägi (3 August 1917 – 20 April 1985) was a Swiss politician and member of the Swiss Federal Council (1966–1979).

He was elected to the Federal Council of Switzerland on 8 December 1965 and handed over office on 31 December 1979.

During his office time he held the following departments: He was President of the Swiss Confederation twice in 1971 and 1976.

His name is popularly remembered as the nickname of a Swiss Armed Forces ordonnance item, an olive-green jumper officially named Trikothemd 75, but commonly known as Gnägi.

This article about a Swiss politician is a stub.