- Apr 4 Battle at Postage Farina, Tunis: English fleet beats Barbary pirates
- Apr 4 The miraculous statue entitled the Infant of Prague is solemnly crowned by command of Cardinal Harrach
- Apr 7 Fabio Chigi replaces Pope Innocent X as Alexander VII
- Apr 26 Dutch West Indies Co denies Peter Stuyvesant's desire to exclude Jews from New Amsterdam
- Apr 28 English General-at-Sea Robert Blake (he was never titled Admiral) beats North African pirate fleet