| Revd Professor André Parrot FBA | Year of birth 1901 | Year of death 1980 | Year elected 1962 | Fellowship category Corresponding |
| Sir Thomas Parry FBA | Year of birth 1904 | Year of death 1985 | Year elected 1959 | Fellowship category UK |
| Professor Peter Parsons FBA | Year of birth 1936 | Year of death 2021 | Year elected 1977 | Fellowship category UK |
| Professor Talcott Parsons FBA | Year of birth 1902 | Year of death 1979 | Year elected 1971 | Fellowship category Corresponding |
| Professor Roy Pascal FBA | Year of birth 1904 | Year of death 1980 | Year elected 1970 | Fellowship category UK |
| Sir Malcolm Pasley FBA | Year of birth 1926 | Year of death 2004 | Year elected 1991 | Fellowship category UK |
| Professor John Passmore FBA | Year of birth 1914 | Year of death 2004 | Year elected 1975 | Fellowship category Corresponding |
| Professor Don Patinkin FBA | Year of birth 1922 | Year of death 1995 | Year elected 1987 | Fellowship category Corresponding |
| Professor Hamish Paton FBA | Year of birth 1887 | Year of death 1969 | Year elected 1946 | Fellowship category UK |
| Sir Alan Peacock FBA, FRSE | Year of birth 1922 | Year of death 2014 | Year elected 1979 | Fellowship category UK Emeritus |
| Professor David Pears FBA | Year of birth 1921 | Year of death 2009 | Year elected 1970 | Fellowship category UK |
| Professor Alfred Pearson FBA | Year of birth 1861 | Year of death 1935 | Year elected 1924 | Fellowship category UK |
| Professor Johannes Pedersen FBA | Year of birth 1883 | Year of death 1977 | Year elected 1950 | Fellowship category Corresponding |
| Professor John (J.D.Y.) Peel FBA | Year of birth 1941 | Year of death 2015 | Year elected 1991 | Fellowship category UK |
| Sir Charles Peers CBE, FBA | Year of birth 1868 | Year of death 1952 | Year elected 1926 | Fellowship category UK |
| Dr John Peile FBA | Year of birth 1838 | Year of death 1910 | Year elected 1904 | Fellowship category UK |