|Ab urbe condita||1789|
|Balinese saka calendar||957–958|
|English Regnal year||N/A|
|Chinese calendar||乙亥年 (Wood Pig)|
3732 or 3672
— to —
丙子年 (Fire Rat)
3733 or 3673
|- Vikram Samvat||1092–1093|
|- Shaka Samvat||957–958|
|- Kali Yuga||4136–4137|
|Japanese calendar||Chōgen 9|
|Minguo calendar||876 before ROC|
|Seleucid era||1347/1348 AG|
|Thai solar calendar||1578–1579|
1162 or 781 or 9
— to —
1163 or 782 or 10
|Wikimedia Commons has media related to 1036.|
- Summer – Duke Sergius IV abdicates and retires to a monastery. He is succeeded by his son John V as ruler of Naples.
- A Zirid expeditionary force invades Sicily and takes Palermo from the Normans, but fails to fully reconquer the island.
- February 5 – Edward the Confessor's younger brother Alfred Aetheling is blinded and murdered, in an apparent attempt to seize the throne of England from Harold I.
- June 13 – Caliph Ali az-Zahir dies after a 16-year reign. He is succeeded by his 6-year-old son Al-Mustansir as ruler of the Fatimid Caliphate. Vizier Ali ibn Ahmad al-Jarjara'i will guide the regency for the first few years.
- May 15 – Emperor Go-Ichijō dies at the age of 27 after a 20-year reign. He is succeeded by his brother Go-Suzaku as the 69th emperor of Japan.
- February 5 – Alfred Aetheling, Anglo-Saxon prince
- March 17 – Gebhard II, bishop of Regensburg
- May 15 – Go-Ichijō, emperor of Japan (b. 1008)
- June 12 – Tedald (or Theobald), Italian bishop
- June 13 – Ali az-Zahir, Fatimid caliph (d. 1005)
- August 25 – Pilgrim, archbishop of Cologne
- Abu Nasr Mansur, Persian mathematician (b. 960)
- Alric of Asti (or Adalric), Lombard bishop
- Berengar of Gascony, French nobleman
- Emilia of Gaeta, Italian duchess and regent
- Fujiwara no Ishi, Japanese empress (b. 999)
- Hárek of Tjøtta, Norwegian Viking chieftain
- Hisham III, Umayyad caliph of Córdoba (b. 973)
- Meynier, Gilbert (2010). L'Algérie, cœur du Maghreb classique: De l'ouverture islamo-arabe au repli (658-1518). Paris: La Découverte. p. 50.
- History of Song (1346).