| Professor Henry Francis Pelham FBA | Year of birth 1846 | Year of death 1907 | Year elected 1902 | Fellowship category UK |
| Professor Jaroslav Pelikan FBA | Year of birth 1923 | Year of death 2006 | Year elected 2000 | Fellowship category Corresponding |
| Dr Henry Pelling FBA | Year of birth 1920 | Year of death 1997 | Year elected 1992 | Fellowship category UK |
| Professor Paul Pelliot FBA | Year of birth 1878 | Year of death 1945 | Year elected 1931 | Fellowship category Corresponding |
| Dame Margery Perham DCMG, CBE, FBA | Year of birth 1895 | Year of death 1982 | Year elected 1961 | Fellowship category UK |
| Professor Louis Pericot Garcia FBA | Year of birth 1899 | Year of death 1978 | Year elected 1954 | Fellowship category Corresponding |
| M Georges Perrot FBA | Year of birth 1832 | Year of death 1914 | Year elected 1904 | Fellowship category Corresponding |
| Professor François Perroux FBA | Year of birth 1903 | Year of death 1987 | Year elected 1961 | Fellowship category Corresponding |
| Professor Édouard Perroy FBA | Year of birth 1901 | Year of death 1974 | Year elected 1958 | Fellowship category Corresponding |
| M Charles Petit-Dutaillis FBA | Year of birth 1868 | Year of death 1947 | Year elected 1940 | Fellowship category Corresponding |
| Sir Flinders Petrie FRS, FBA | Year of birth 1853 | Year of death 1942 | Year elected 1904 | Fellowship category UK |
| Sir Nikolaus Pevsner CBE, FBA | Year of birth 1902 | Year of death 1983 | Year elected 1965 | Fellowship category UK |
| Professor Rudolph Pfeiffer FBA | Year of birth 1889 | Year of death 1979 | Year elected 1949 | Fellowship category UK |
| Professor Hans Georg Pflaum FBA | Year of birth 1902 | Year of death 1979 | Year elected 1968 | Fellowship category Corresponding |
| Rt Hon Lord Walter Phillimore GBE, PC, Hon FBA | Year of birth 1845 | Year of death 1929 | Year elected 1922 | Fellowship category Honorary |
| Sir Arthur Pickard-Cambridge FBA | Year of birth 1873 | Year of death 1952 | Year elected 1934 | Fellowship category UK |