- Apr 1 Ignaz Franz von Mosel, Austrian composer, born in Vienna (d. 1844)
- Apr 4 Nachman of Breslov, Ukrainian founder of Breslov Hasidut, born in Międzybóż, Kingdom of Poland (d. 1810)
- Apr 7 Charles Fourier, French philosopher and early Socialist (credited with inventing term 'feminism'), born in Besançon, France (d. 1837)
- Apr 11 Manuel Jose Quintana, Spanish author and poet (El Duque de Viseo), born in Madrid, Spain (d. 1857)
- Apr 15 Étienne Geoffroy Saint-Hilaire, French naturalist, born in Étampes, France (d. 1844)
- Apr 19 David Ricardo, English economist (On the Principles of Political Economy and Taxation), born in London (d. 1823)