This article needs additional citations for verification. (January 2021)
|Ab urbe condita||1796|
|Balinese saka calendar||964–965|
|English Regnal year||N/A|
|Chinese calendar||壬午年 (Water Horse)|
3739 or 3679
— to —
癸未年 (Water Goat)
3740 or 3680
|- Vikram Samvat||1099–1100|
|- Shaka Samvat||964–965|
|- Kali Yuga||4143–4144|
|Japanese calendar||Chōkyū 4|
|Minguo calendar||869 before ROC|
|Seleucid era||1354/1355 AG|
|Thai solar calendar||1585–1586|
1169 or 788 or 16
— to —
1170 or 789 or 17
|Wikimedia Commons has media related to 1043.|
- Spring – Emperor Constantine IX Monomachos sends a Byzantine expeditionary force to the Balkans against the rebellious George Maniakes, governor of the Catepanate of Italy. The two armies meet near Thessaloniki in northern Greece. The rebel army – better organized, seasoned and with superior leadership – fights initially successful, but Maniakes is killed by an arrow at the moment of his triumph. After this, his army is routed.
- Rus'–Byzantine War: A Kievan Rus' naval raid, led by Grand Prince Vladimir Yaraslavich, unsuccessfully attacks Constantinople. A 6,000-strong Kievan contingent under Vyshata is also defeated and deported to the capital.
- Spring – A grand assembly at Melfi, with all the Norman and Lombard nobles acclaim Guaimar IV, duke of Apulia and Calabria. The territories are divided into 12 fiefdoms and distributed among Norman chieftains. William Iron Arm is granted Ascoli as a private fiefdom and his brother Drogo of Hauteville is granted Venosa. Count Rainulf II of Aversa, not present at the assembly, receives Siponto and recognizes Guaimar's suzerainty.
- Grand Prince Yaroslav the Wise of Kiev makes an agreement with Duke Casimir I the Restorer of Poland that recognizes Chervyen as part of Kiev. The agreement is sealed with a double marriage – Casimir to Maria Dobroniega (a daughter of Vladimir the Great), and Iziaslav to Gertrude, Casimir's sister.
- November 21 – King Henry III ("the Black") marries Agnes of Poitou (daughter of William V of Aquitaine) at the Imperial Palace at Ingelheim am Rhein. She is his second wife after the death of Gunhilda from malaria in 1038.
- April 3 – Edward the Confessor is crowned king of England at Winchester Cathedral. He learns that his mother, Queen Emma of Normandy is plotting with Magnus the Good to take control of the English throne. Edward strips her land and treasure, but she is allowed to stay in England.
- The Seljuqs under Tughril Beg expel the Oghuz Turks from Khorasan and conquer Qazvin (modern Iran). They become the new masters of the Ziyarid Dynasty (approximate date).
- Abu Muhammad al-Baghawi, Persian hadith scholar (d. 1122)
- Áurea of San Millán, Spanish anchorite and saint (d. 1070)
- Fulk IV ("the Quarreller"), French nobleman (d. 1109)
- Furong Daokai, Chinese Zen Buddhist monk (d. 1118)
- Isaac ben Reuben Albargeloni, Spanish Jewish rabbi
- El Cid (Rodrigo Diaz de Vivar), Spanish nobleman (d. 1099)
- February 14 – Gisela of Swabia, Holy Roman Empress (b. 990)
- February 20 – Alexios Stoudites, patriarch of Constantinople
- June 26 – Gonzalo Sánchez, Spanish nobleman (b. 1020)
- July 26 – Moses the Hungarian, Kievan Russian monk
- Al-Muqtana Baha'uddin, Druze religious leader (b. 979)
- Cathal mac Ruaidhri, king of Maigh Seóla (Ireland)
- George Maniakes, Byzantine general and governor
- Hallvard Vebjørnsson, Norwegian patron saint
- Hywel ab Owain, king of Glywysing (Wales)
- Simon Franklin, Jonathan Shepard, The Emergence of Kievan Rus' 750–1200, (Routledge, 2013), p. 253.