It's a massive problem, because there's no police force to ensure that people don't break the law.
In Baghdad things are so bad that shopkeepers have started to shoot at the looters and people have barricaded themselves in their homes.
Specialist hospital equipment has been stolen from more than two hospitals in the city.
Fight at a bank
The same problems are being found in the north of the country.
In Mosul, hundreds of people surged into a bank and fighting broke out as they desperately tried to snatch money from each other.