The Islamist group Muslim Interaktiv plans to take to the streets of the northern German port city of Hamburg again on Saturday, but under strict conditions, the police said.
The nine individual points include a ban on inciting hatred or violence, Israel's right to exist may not be denied and Israeli flags may not be burnt or damaged, police said on Friday.
The police are expecting around 1,000 participants at the demonstration in the central Sankt Georg district being held under the motto "Against censorship and the dictatorship of opinion."
It is also forbidden to call for a caliphate in Germany in word, image or writing. At the previous demonstration on April 27, the words "Caliphate is the solution" could be read on signs. Speeches also called for a caliphate as a solution to social problems in Islamic states.
The protest sparked nationwide outrage in Germany and denunciations from leading politicians.
A caliphate is a religious state under a spiritual leader, a caliph, who claims succession from the Muslim prophet Mohammed. There have been several examples in history, but the most recent one was created by the terrorist organization Islamic State in large parts of Syria and Iraq.
Contrary to the organizer's wishes, Saturday's event was only allowed to take place as a stationary rally, with no march planned, according to the police. The assembly authorities reported a counter-demonstration with 100 participants.