|Ab urbe condita||1816|
|Balinese saka calendar||984–985|
|English Regnal year||N/A|
|Chinese calendar||壬寅年 (Water Tiger)|
3759 or 3699
— to —
癸卯年 (Water Rabbit)
3760 or 3700
|- Vikram Samvat||1119–1120|
|- Shaka Samvat||984–985|
|- Kali Yuga||4163–4164|
|Japanese calendar||Kōhei 6|
|Minguo calendar||849 before ROC|
|Seleucid era||1374/1375 AG|
|Thai solar calendar||1605–1606|
1189 or 808 or 36
— to —
1190 or 809 or 37
|Wikimedia Commons has media related to 1063.|
- May 8 – Battle of Graus: The allied Muslim and Christian troops under King Sancho II (the Strong) and Emir Ahmad al-Muqtadir (maybe led by El Cid), defeat the Aragonese army. King Ramiro I is killed and succeeded by his son Sancho V as ruler of Aragon.
- Battle of Cerami: Duke Roger I leads a small Norman force (supported by 136 mounted knights) and defeats a much larger Saracen army (35,000 men) at Cerami (near Troina) in Sicily.
- Summer – The Pisan fleet assaults and sacks Palermo (controlled by the Saracens) – this in support of the Norman forces of Roger I.
- Duke William I (the Bastard) claims the province of Maine and betroths his son Robert to Margaret, daughter of late Count Herbert II.
- Battle of Damghan: Seljuk forces under Alp Arslan defeat his brother Qutalmish who claims the throne of late Tughril, founder of the Seljuk Empire. Qutalmish flees from the battle, but his son Suleiman is taken prisoner.
- The Pizhi Pagoda located at Lingyan Temple (Shandong province) in China is completed, standing at a height of 54 m (177 ft) tall.
- Doge Domenico I orders the construction of the present building of St Mark's Basilica at Venice (approximate date).
- Anselm, later to become archbishop of Canterbury, becomes prior at the Abbey of Bec (approximate date).
- The bishopric of Olomouc (located on the River Morava) is founded (modern Czech Republic).
- Eight Deer Jaguar Claw (or 8 Deer), Mixtec ruler (d. 1115)
- Yuanwu Keqin, Chinese Chan Buddhist monk (d. 1135)
- March 21 – Richeza of Lotharingia, queen of Poland
- April 30 – Ren Zong, emperor of the Song Dynasty (b. 1010)
- May 8 – Ramiro I, king of Aragon (House of Jiménez)
- August 5 – Gruffydd ap Llywelyn, king of Gwynedd
- August 9 – Constantine III, Byzantine patriarch
- September 3 – Henry II, archbishop of Augsburg
- September 4 – Tughril, sultan of the Seljuk Empire (b. 990)
- September 11 – Béla I (the Champion), king of Hungary
- December 7 – Qutalmish, prince of the Seljuk Empire
- Gotebald (or Gotebold), patriarch of Aquileia
- Hedwig (or Advisa), countess of Nevers
- Hilduin IV, count of Montdidier and Roucy
- Pang Ji, Chinese official and chancellor (b. 988)
- Sudislav Vladimirovich, prins of Pskov
- Sylvester III, pope of the Catholic Church
- Fletcher, R. A. (1987). "Reconquest and Crusade in Spain c. 1050-1150". Transactions of the Royal Historical Society. 5. 37: 31–47 . JSTOR 3679149.
- Gaufredo, Malaterra. "Chapter 33, The Battle of Cerami". De Rebus Gestis Rogerii Calabriae et Siciliae Comitis et Roberti Guiscardi Ducis fratris eius. 2.
- Benvenuti, Gino (1985). Le Repubbliche Marinare. Amalfi, Pisa, Genova e Venezia. Rome: Newton & Compton Editori. p. 13. ISBN 88-8289-529-7.
- Izz al-Din ibn al'Athir, The Annals of the Saljuq Turks, transl. D.S. Richards, (Routledge, 2002), p. 151.