List of Fellows of the Royal Society elected in 1963
Fellows
- Sir John Bertram Adams
- Eric Ashby, Baron Ashby of Brandon, Suffolk
- Horace Newton Barber
- Eric Henry Stoneley Burhop
- Harold Garnet Callan
- John William Scott Cassels
- Thomas Neville George
- Sir James Learmonth Gowans
- Sir Peter Bernhard Hirsch
- John Herbert Humphrey
- Peter Leslie Krohn
- Dietrich Kuchemann
- Michael Selwyn Longuet-Higgins
- John Freeman Loutit
- John Walter Guerrier Lund
- Sheina Macalister Marshall
- Paul Taunton Matthews
- Bernard Yarnton Mills
- Charles Garrett Phillips
- John Alexander Fraser Roberts
- Leonard Rotherham
- Thomas Stevens Stevens
- Sir Theodore Morris Sugden
- David Tabor
- Arthur James Cochran Wilson
Foreign Members
- Emmanuel Faure-Fremiet
- Karl Johann Freudenberg
- Sewall Wright
- Hideki Yukawa
Statute 12 Fellow
- Sir Isaac Wolfson