- Apr 1 Franz Egon of Fürstenberg, Bavarian Catholic archbishop (b. 1625)
- Apr 3 Bartolomé Esteban Murillo, Spanish Baroque painter (The Vision of St. Anthony), dies at about 64
- Apr 14 Avvakum, Russian Orthodox archpriest and writer, dies at 60
- Apr 27 Theodorus III, Tsar of Russia (1676-82), dies at 21