Buses, trams and underground trains are expected to remain in depots across many municipal transport companies due to the industrial action.
The detour is expected to add around 25 minutes to the journey.
The trade union, Verdi, called for the two-day strike, lasting until Friday.
The suspects were said to have been involved in smuggling people across the English Channel.
There have been renewed threats at several schools and radio stations following bomb threats targeting at least seven schools and the public broadcaster ZDF.
German officials have completed an investigation into the rape and violent death of a 10-year-old girl in a children’s home in Bavaria five months ago.
They were accused of forming or supporting a criminal organisation and organising fundraising to finance the group’s alleged crimes.
According to Schäfer, more than 10,000 children in Germany grew up in SOS Children’s Village families during that time.
The woman was arrested on Monday for allegedly collecting money for the terrorist organisation.
