Police officials filed the case with the Borhanuddin Police Station. The district administration said that no meetings and processions will be allowed in the area without permission.
On Sunday, at least four people died and over 100 others were injured in the clashes between police and locals in the Upazila. At least 10 policemen were among the injured.
Four platoons of Border Guard Bangladesh were airlifted to Borhanuddin to bring the situation under control.
Locals organised the rally to demand action against a youth who allegedly demeaned Prophet Muhammad on Facebook.
The violence erupted after hundreds of locals gathered for a rally under the banner of ‘Muslim Tawhidi Janata’ in protest against the social media post.
Police later said a Facebook account was hacked to spread blasphemous comments.
A rally was called for Monday in protest against the deaths, but not allowed, said Maulana Mizanur Rahman, a leader of the group. However, a news conference will be organised at the Bhola Press Club, he added.