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. (January 2016)
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was a leap year starting on Friday of the Gregorian calendar and a leap year starting on Monday of the Julian calendar, the 1588th year of the Common Era (CE) and Anno Domini (AD) designations, the 588th year of the 2nd millennium, the 88th year of the 16th century, and the 9th year of the 1580s decade. As of the start of 1588, the Gregorian calendar was
10 days ahead of the Julian calendar, which remained in localized use until 1923.
- February – The Sinhalese abandon the siege of Colombo, capital of Portuguese Ceylon.
- February 9 – The sudden death of Álvaro de Bazán, 1st Marquis of Santa Cruz, in the midst of preparations for the Spanish Armada, forces King Philip II of Spain to re-allocate the command of the fleet.
- April 14 (April 4 Old Style) – Christian IV becomes king of Denmark–Norway, upon the death of his father, Frederick II.
- May 12 – Day of the Barricades in Paris: Henry I, Duke of Guise seizes the city, forcing King Henry III to flee.
- May 28 – The Spanish Armada, with 130 ships and 30,000 men, begins to set sail from the Tagus estuary, heading for the English Channel (it will take until May 30 for all of the ships to leave port).
- July – King Henry III of France capitulates to the Duke of Guise, and returns to Paris.
- July 31 – The first engagement between the English and Spanish fleets (off of Plymouth) results in a victory for the English, under command of Lord Howard of Effingham and Sir Francis Drake.
- August 2 – The English fleet defeats the Spanish fleet, off the Isle of Portland.
- August 6 (July 29 Old Style) – Battle of Gravelines: The Spanish Armada is defeated by the English naval force off the coast of Gravelines, in the Spanish Netherlands (modern France).
- August 7 – The English fleet defeats the Spanish fleet off the coast of Flanders.
- August 8–9 – The Spanish are unable to reach the coast of Flanders, to meet up with the army of the Duke of Parma. The Duke of Medina Sidonia decides to return to Spain.
- August 12 – The fleeing Spanish fleet sails past the Firth of Forth, and the English call off their pursuit. Much of the Spanish fleet is destroyed by storms, as it sails for home around Scotland and Ireland.
- October 7 – The first biography of Nicolaus Copernicus (d.1543) is completed by Bernardino Baldi.
- December 5 – The Order of Augustinian Recollects is formally recognised as a separate province from the Order of Saint Augustine, an event later known as the Día de la Recolección or Day of Recollection.
- December 23 – Henry III of France strikes his ultra-Catholic enemies, having the Duke of Guise and his brother, Louis II, Cardinal of Guise, killed, and holding the Cardinal de Bourbon a prisoner. As a result, large parts of France reject Henry III as their king, forcing him to side with Henry of Navarre.
- January 4 – Arnold Vinnius, Dutch lawyer (d. 1657)
- January 6 – Elizabeth Stanley, Countess of Huntingdon, English noblewoman and writer (d. 1633)
- January 20 – Francesco Gessi, Italian painter (d. 1649)
- February 2 – Georg II of Fleckenstein-Dagstuhl, German nobleman (d. 1644)
- February 15 – Benjamin Bramer, German mathematician (d. 1652)
- March 12 – Herman de Neyt, Flemish painter (d. 1642)
- March 21 – Egon VIII of Fürstenberg-Heiligenberg, Bavarian count and field-marshal (d. 1635)
- March 22 – Frederick IX, Margrave of Brandenburg, Grand Master of the Order of Saint John (d. 1611)
- March 27 – Celestyn Myślenta, Polish theologian (d. 1653)
- March 29 – Margherita Aldobrandini, Parmesan regent (d. 1646)
- March – Johann Heinrich Alsted, German theologian (d. 1638)
- April 4 – Padovanino, Italian painter (d. 1649)
- April 5 – Thomas Hobbes, English philosopher (d. 1679)
- April 15 – Claudius Salmasius, French classical scholar (d. 1653)
- April 16 – Emanuel Filibert of Savoy, Viceroy of Sicily (d. 1624)
- May 2 – Étienne Pascal, French mathematician (d. 1651)
- May 9 – Herman Hugo, Jesuit priest, writer, military chaplain (d. 1629)
- May 13 – Ole Worm, Danish physician and antiquary (d. 1654)
- May 28 – Pierre Séguier, Chancellor of France (d. 1672)
- June 3 – Julius Frederick, Duke of Württemberg-Weiltingen (1617–16135) (d. 1635)
- June 9 – Johann Andreas Herbst, German composer and music theorist (d. 1666)
- June 11 – George Wither, English poet and satirist (d. 1667)
- June 14 – Hoshina Masasada, Japanese daimyō who ruled the Ino Domain (d. 1661)
- June 30 – Giovanni Maria Sabino, Italian composer, organist and teacher (d. 1649)
- July 7 – Wolrad IV, Count of Waldeck-Eisenberg (1588–1640) (d. 1640)
- July 29 – William Spring of Pakenham, Member of Parliament (d. 1638)
- August 25 – Elizabeth Poole, English settler in Plymouth Colony (d. 1654)
- August – François de La Mothe Le Vayer, French writer (d. 1672)
- September 1 – Henri, Prince of Condé (d. 1646)
- September 8 – Marin Mersenne, French theologian (d. 1648)
- September 10 – Nicholas Lanier, English composer (d. 1666)
- September 13 – Edward Vaux, 4th Baron Vaux of Harrowden, English baron (d. 1661)
- October 7 – Sir Drue Drury, 1st Baronet, English politician (d. 1632)
- October 16 – Luke Wadding, Irish Franciscan friar and historian (d. 1657)
- November 25 – Gilbert Ironside the elder, English bishop (d. 1671)
- December 10
- December 15
- December 23 – Claude Bernard, French priest (d. 1641)
- December 24 – Constance of Austria, Queen of Poland (d. 1631)
- January 17 – Qi Jiguang, Chinese general (b. 1528)
- February 9 – Álvaro de Bazán, 1st Marquis of Santa Cruz, Spanish admiral (b. 1526)
- February 24 – Johann Weyer, Dutch physician and occultist (b. 1515)
- March 3 – Henry XI of Legnica, Duke of Legnica (b. 1539)
- March 5 – Henri, Prince of Condé (b. 1552)
- March 10 – Theodor Zwinger, Swiss scholar (b. 1533)
- April 4 – King Frederick II of Denmark (b. 1534)
- April 19 – Paolo Veronese, Italian painter (b. c. 1528)
- May 5 – Giorgio Biandrata, Italian physician (b. 1515)
- May 12 – Peter Monau, German physician (b. 1551)
- June 5 – Anne Cecil, Countess of Oxford, English countess (b. 1556)
- June 7 – Philip II, Margrave of Baden-Baden (b. 1559)
- June 10 – Valentin Weigel, German theologian (b. 1533).
- June 13 – Countess Anna of Nassau (b. 1563)
- June 18 – Robert Crowley, London stationer (b. 1517)
- July 17 – Mimar Sinan, Ottoman architect (b. 1489)
- August 6 – Josias I, Count of Waldeck, Count of Waldeck-Eisenberg (1578-1588) (b. 1554)
- August 8 – Alonso Sánchez Coello, Spanish painter (b. c. 1531)
- August 12 – Alfonso Ferrabosco the elder, Italian composer (b. 1543)
- August 30 – Margaret Ward, English saint (birthdate unknown)
- August 31 – Juliana of Nassau-Dillenburg, Dutch prince (b. 1546)
- September 3 – Richard Tarlton, English actor (b. 1530)
- September 4 – Robert Dudley, 1st Earl of Leicester, English politician (b. 1532)
- September 25 – Tilemann Heshusius, German Gnesio-Lutheran theologian (b. 1527)
- September 26 – Amias Paulet, Governor of Jersey (b. 1532)
- October 1 – Edward James, English Catholic martyr (executed at Chichester)
- October 2 – Bernardino Telesio, Italian philosopher and natural scientist (b. 1509)
- November 1 – Jean Daurat, French poet and scholar (b. 1508)
- December 23 – Henry I, Duke of Guise, French Catholic leader (b. 1550)
- December 24 – Louis II, Cardinal of Guise, French Catholic cardinal (b. 1555)
- date unknown