In Leipzig strangers set several cars on fire.
The property damage amounts to at least 300,000 euros, said the State Criminal Police Office (LKA) on Tuesday.
A political motivation of the perpetrators cannot be ruled out.
Leipzig - The cars were set on fire last Sunday night on the site of a car dealership in the south-east of Leipzig.
A charging station for electric cars was also damaged.
The police are looking for witnesses who either observed suspicious persons on the night of the crime or who saw statements related to the crime on the Internet.
As a result of the ban on three left-wing demonstrations in Leipzig last Saturday, there had been several arson and property damage in various places on Sunday night.
Among other things, several garbage cans were set on fire and a bank branch was damaged.
dpa