A witness said “people are crushed” while another said people are passed out on the ground.
One person at the market said the truck was travelling “fast” and crashed with a loud bang.
The exact number of those injured is unclear but locals are reporting at least one fatality.
Local newspaper Berlin Morgen post said police confirmed the incident in Breitscheidplatz, Berlin-Charlottenburg.
The incident comes as Brussels streets were put on lockdown as police descended in another terror based incident.