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|Ab urbe condita||2251|
|Balinese saka calendar||1419–1420|
|English Regnal year||13 Hen. 7 – 14 Hen. 7|
|Chinese calendar||丁巳年 (Fire Snake)|
4194 or 4134
— to —
戊午年 (Earth Horse)
4195 or 4135
|- Vikram Samvat||1554–1555|
|- Shaka Samvat||1419–1420|
|- Kali Yuga||4598–4599|
|Japanese calendar||Meiō 7|
|Minguo calendar||414 before ROC|
|Thai solar calendar||2040–2041|
1624 or 1243 or 471
— to —
1625 or 1244 or 472
|Wikimedia Commons has media related to 1498.|
- February – Portuguese explorer Vasco Da Gama reaches Malindi, in modern-day Kenya.
- March 2 – Vasco da Gama visits Quelimane and Mozambique, in southeastern Africa.
- May 20 – Portuguese navigator Vasco da Gama arrives at Calicut (now Kozhikode), India, becoming the first European to get there by sailing around Africa, thus discovering the maritime route to India. He finds a local Arab merchant who is able to interpret for him.
- May 23 – Girolamo Savonarola, ruler of Florence, is executed for criticizing the Pope.
- June – Niccolò Machiavelli is elected by the Great Council, as the second chancellor of the Republic of Florence.
- Summer – The final Welsh revolt of the medieval era breaks out in Meirionnydd, North Wales; Harlech Castle is captured by the rebels before the revolt is suppressed.
- July 31 – On his third voyage to the Western Hemisphere, Christopher Columbus becomes the first European to discover the island of Trinidad.
- August 1 – Columbus discovers the mouth of the Orinoco.
- August 4–12 – Columbus explores the Gulf of Paria.
- September 20 – 1498 Nankai earthquake off the coast of Japan.
- João Fernandes Lavrador and Pedro Barcelos journey to Greenland; during their voyage, they discover the land which they name Labrador.
- Probable date at which Leonardo da Vinci completes the painting The Last Supper, on the refectory wall of Santa Maria delle Grazie (Milan).
- January 31 – Tiberio Crispo (d. 1566)
- February 4 – George I of Württemberg-Mömpelgard (d. 1558)
- February 21 – Ralph Neville, 4th Earl of Westmorland, English earl (d. 1549)
- February 25 – Francesco of Saluzzo, Marquess of Saluzzo (d. 1537)
- April 5 – Giovanni dalle Bande Nere, Italian condottiero (d. 1526)
- April 9 – Jean, Cardinal of Lorraine, French churchman (d. 1550)
- June 1 – Maarten van Heemskerck, Dutch painter (d. 1574)
- June 30 – Wilhelm von Brandenburg, Archbishop of Riga (d. 1563)
- July 25 – Hernando de Aragón, Spanish Catholic archbishop (d. 1575)
- August 23 – Miguel da Paz, Prince of Portugal (d. 1500)
- August 24 – John, Hereditary Prince of Saxony, German prince (d. 1537)
- November 1 – Giovanni Ricci, Italian cardinal (d. 1574)
- November 15 – Eleanor of Austria, Queen of Portugal and France (d. 1558)
- November 30 – Andrés de Urdaneta, Spanish Friar (d. 1568)
- December 1 – Giovanni Michele Saraceni, Italian Catholic cardinal (d. 1568)
- December 19 – Andreas Osiander, German Protestant theologian (d. 1552)
- date unknown
- Giulio Clovio, (Juraj Julije Klovic) Dalmatian miniaturist and illustrator (d. 1578)
- Anna of Masovia, Polish princess (d. 1557)
- Meera, Rajput princess (d. 1547)
- Sagara Taketō, Japanese retainer (d. 1551)
- Pier Paolo Vergerio, Italian religious reformer (d. 1565)
- Felix Manz, leader of the Swiss Anabaptists (d. 1527)
- February 4 – Antonio del Pollaiolo, Italian painter (b. c. 1432)
- April 7 – King Charles VIII of France (b. 1470)
- May 23 – Girolamo Savonarola, Italian religious reformer and ruler of Florence (b. 1452)
- June 7 – Anđeo Zvizdović, Bosnian Franciscan friar and evangelist (b. c. 1420)
- August 17 – John Scrope, 5th Baron Scrope of Bolton, English baron (b. 1437)
- August 23 – Isabella of Aragon, Queen of Portugal, eldest daughter of Isabella I of Castile and Ferdinand II of Aragon (b. 1470)
- September 14 – Giovanni il Popolano, Italian diplomat (b. 1467)
- September 16 – Tomás de Torquemada, Spanish Dominican friar and first Grand Inquisitor (b. 1420)
- December 7 – Alexander Hegius von Heek, German humanist (b. c. 1443)
- December 19 – Jeanne de Laval, French noble (b. 1433)
- date unknown
- probable – Johannes Martini, Flemish composer (b. c. 1440)