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Europe

• January 30 - The Peace of Bautzen: Emperor Henry II signs a peace treaty with Bolesław I, Duke of Poland, ending the German–Polish War. Poland keeps Lusatia – the Holy Roman Empire keeps Bohemia. With this peace agreement, Bolesław redirects his forces on an offensive against the Kievan Rus'.
• July 22-23 - Battle of the River Bug: Polish forces under Bolesław I defeat Yaroslav the Wise near the River Bug. Yaroslav retreats to Novgorod, abandoning Kiev.
• July 29 - Battle of Vlaardingen: Henry II sends an army towards Holland to subdue the rebellious Count Dirk III. The Imperial forces are defeated near Vlaardingen.
• August - Ivats, Bulgarian nobleman and rebel leader, is blinded and captured by strategos Eustathios Daphnomeles, confirming Bulgaria's position as part of the Byzantine Empire.
• August 14 - Bolesław I accepts the surrender of Kiev by the Pechenegs. He reinstates Sviatopolk I as Grand Prince of Kiev.
• Battle of Cannae: The Lombard adventurer Melus of Bari and his Norman mercenaries are decisively defeated by the Byzantine army, led by the Catepan Basil Boioannes.
• October 1 - Battle of Carham: King Malcolm II of Scotland and Owain Foel are victorious over either Uhtred the Bold or Eadwulf Cudel, rulers of Bamburgh. The battle confirms Scottish dominance over Lothian.
• Cnut the Great travels to Denmark to succeed his brother Harald II on the Danish throne.

  Asia

• December - Goryeo–Khitan War: Khitan forces of the Liao Dynasty invade Goryeo. Goryeo forces led by General Gang Gam-chan annihilates the Khitan army at Kusong.

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Religion

• Buckfast Abbey is founded as a Benedictine monastery in England.