Giovanni Orlandi launcches a successful Pisan naval assault upon Muslim-ruled Palermo, to support the ambitions of Roger of Hauteville.
May 8 – Battle of Graus: The allied Muslim and Christian troops, of the king of Castile and the emir of Zaragoza (maybe led by El Cid), defeat the Aragonese army. King Ramiro I of Aragon is killed; his son succeeds him.
Battle of Cerami (in Sicily): Roger leads a small group of invading Normans to defeat a much larger force of occupying Arab Muslims, aided by a vision of Saint George.
The River Thames in England is frozen for 14 weeks.
Battle of Damghan (1063) (part of the Seljukid Civil War): Alp Arslan defeats Qutalmish, to succeed the late Tughril, founder of the Seljuk Empire.
The Pizhi Pagoda of Lingyan Temple, Shandong, China is completed, standing at a height of 54 m (177 ft) tall.
Construction of the present building of St Mark's Basilica is begun.
Anselm, later to become Archbishop of Canterbury, becomes prior at the Abbey of Bec.
The Bishopric of Olomouc is founded.
Yuanwu Keqin, Chinese Zen Buddhist monk (d. 1135)
Eight Deer Jaguar Claw, Mixtec Lord and founder of the pre-Columbian city of Tututepec
March 21 – Blessed Richeza of Lotharingia, wife of King Mieszko II of Poland (990–1034)
April 30 – Emperor Renzong of Song (b. 1010)
August 5 – Gruffydd ap Llywelyn, King of Gwynedd
September 4 – Toghrül, Turkish conqueror of Persia and Baghdad
Kutalmısh, member of the Seljukid house and condender for the throne
King Bela I of Hungary
King Ramiro I of Aragon
Year 1063 (MLXIII) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar.
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