The year 650 BC was a year of the pre-Julian Roman calendar. In the Roman Empire, it was known as year 104 Ab urbe condita . The denomination 650 BC for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.

• A climate change occurs in Europe, affecting all the Bronze Age cultures with colder and wetter climate, and tribes from Scandinavia migrate south into the European continent.
• Wine pitcher (oenochoe) from Rhodes is begun, finished in 625 BC. It is now at the Museum of Fine Arts, Boston.
• The city of Ancient Carthage acquires independence from Tyre.
• Thales discovered the first theorems related to circles.

• Mentuemhat, Theban Egyptian official