Rudolf Gnägi (August 3, 1917 - April 20, 1985) was a Swiss politician.
He was elected to the Federal Council of Switzerland on December 8, 1965 and handed over office on December 31, 1979. He was affiliated to the Swiss People's Party. During his office time he held the following departments:
- Federal Department of Transport, Communications and Energy (1966 - 1967)
- Federal Department of Defence; Federal Military Department (1968)
- Federal Department of Transport, Communications and Energy (1968)
- Federal Department of Defence; Federal Military Department (1969 - 1979)
Predecessor: Friedrich Traugott Wahlen
Successor: Leon Schlumpf