Year 1060 (MLX) was a leap year starting on Saturday of the Julian calendar.
- May – The Norman leader Robert Guiscard conquers Taranto.
- October – The Byzantine army defeats the Normans and enters Taranto.
- December 6 – Béla I the Champion is crowned king of Hungary.
- The New Book of Tang is completed under a team of scholars led by Ouyang Xiu.
- Chinese poet, calligrapher, and official Cai Xiang publishes his Cha Lu (Record of Tea).
- Spanish Jew Benjamin of Tudela reports that Constantinople has merchant communities from Babylon, Canaan, Egypt, Hungary, Persia, Russia, Sennar, and Spain as well as 2,000 Jews (approximate date).
- Philip I of France begins his reign.
- Upon the death of Emund the Old, he is succeeded by his son-in-law Stenkil as King of Sweden.