|Covid-19|July 11 – Romanesque tympanum of Santiago de Compostela Cathedral in Galicia (Spain) is constructed.
August 7 – Battle of Mellrichstadt was fought between Holy Roman Emperor Henry IV and the German anti-king Rudolf of Swabia.
Anselm is elected abbot of Bec Abbey in Normandy.
Approximate date – The White Tower of the Tower of London is begun under the direction of Bishop Gundulf of Rochester.
At the Battle of Kalavrye, the Byzantine imperial forces of general Alexios I Komnenos are victorious over the rebellious governor of Dyrrhachium, Nikephoros Bryennios the Elder.
Philaretos Brachamios abandons his claim to the Byzantine empire on being appointed duke of Antioch, a foundation of the later Armenian Kingdom of Cilicia.
By this year, the iron industry in Song dynasty China is producing a total weight of 127,000,000 kg (125,000 t) of iron product per year.
The Almoravid emir, Yusuf ibn Tashfin besieges Ceuta. Since the city can receive help from the sea, the siege will last until 1083.
King Alexander I of Scotland (d. 1124)
November 11 – Udo of Nellenburg, Archbishop of Trier (during the siege of Tübingen)
Rhys ab Owain, king of Deheubarth, Wales
Year 1078 (MLXXVIII) was a common year starting on Monday (link will display the full calendar) of the Julian calendar.