Rudolf Gnägi (3 August 1917 – 20 April 1985) was a Swiss politician. He was a member of the Swiss Federal Council from 1966 to 1979. He was born in Schwadernau, Canton of Bern.

Gnägi was elected to the Federal Council of Switzerland on 8 December 1965 and handed over office on 31 December 1979. He was a member of the Party of Farmers, Traders and Independents (BGB/PAI), which became the Swiss People's Party in 1972.

During his office time he held the following departments:

• Federal Department of Transport, Communications and Energy (1966–1967)
• Federal Military Department (1968)
• Federal Department of Transport, Communications and Energy (1968)
• Federal Military Department (1969–1979)

He was President of the Confederation in 1971 and again in 1976.

Gnägi died on 20 April 1985 in Köniz, Switzerland at the age of 67.

Wikimedia Commons has media related to Rudolf Gnägi.

• Rudolf Gnägi in German, French and Italian in the online Historical Dictionary of Switzerland.
• Profile of Rudolf Gnägi with election results on the website of the Swiss Federal Council.

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