| Professor George Edward Moore OM, FBA | Year of birth 1873 | Year of death 1958 | Year elected 1918 | Fellowship category UK |
| Mr Henry Moore OM, CH, FBA | Year of birth 1898 | Year of death 1986 | Year elected 1966 | Fellowship category UK |
| Dr Roger Moorey FBA | Year of birth 1937 | Year of death 2004 | Year elected 1977 | Fellowship category UK |
| Professor Serafin Moralejo FBA | Year of birth 1946 | Year of death 2011 | Year elected 1993 | Fellowship category Corresponding |
| Professor Michael Moran FBA | Year of birth 1946 | Year of death 2018 | Year elected 2004 | Fellowship category UK Emeritus |
| Professor William Richard Morfill FBA | Year of birth 1834 | Year of death 1909 | Year elected 1903 | Fellowship category UK |
| Professor Edmund Morgan FBA | Year of birth 1916 | Year of death 2013 | Year elected 1978 | Fellowship category Corresponding |
| Dr Georg Morgenstierne FBA | Year of birth 1892 | Year of death 1978 | Year elected 1964 | Fellowship category Corresponding |
| Professor Michio Morishima FBA | Year of birth 1923 | Year of death 2004 | Year elected 1981 | Fellowship category UK |
| Dr Samuel Eliot Morison FBA | Year of birth 1887 | Year of death 1976 | Year elected 1954 | Fellowship category Corresponding |
| Mr Stanley Morison FBA | Year of birth 1889 | Year of death 1967 | Year elected 1954 | Fellowship category UK |
| Right Hon Viscount John Morley OM, FBA | Year of birth 1848 | Year of death 1923 | Year elected 1902 | Fellowship category UK |
| Professor Anna Morpurgo Davies Hon DBE, FBA | Year of birth 1937 | Year of death 2014 | Year elected 1985 | Fellowship category UK |
| Professor Colin Morris FBA | Year of birth 1928 | Year of death 2021 | Year elected 2007 | Fellowship category UK Emeritus |
| Dr John Morris QC, FBA | Year of birth 1910 | Year of death 1984 | Year elected 1966 | Fellowship category UK |
| Mr John Morrison CBE, Hon FBA | Year of birth 1913 | Year of death 2000 | Year elected 1988 | Fellowship category Honorary |