The plea, filed through advocate Ajay Choudhary, has arrayed the Centre, the Lieutenant Governor of Delhi, and the Police Commissioner of Delhi as respondents.
Holding banners that read "Long Live Farmers Unity", demanding a repeal of the three farm laws and equal opportunities for all, the protesters held a march at Jantar Mantar.
Justice Mukta Gupta directed that the accused be released on bail on a personal bond of Rs 50,000 with two sureties of the like amount.
Singh, who was remanded to judicial custody on August 10 after his arrest, is accused of creating enmity between different groups and inciting the youth.
Preet Singh, one of the organisers of the event who is presently in judicial custody, told Justice Mukta Gupta that he would not press his bail application, if the court held a contrary opinion.
Justice Mukta Gupta issued notice on Preet Singh's bail application and directed the police to file its status report.
Delhi High Court has earlier refused to grant any interim protection to Chaudhary, president of Hindu Rakshak Dal.
In a video, which was circulating on social media, Chaudhary, wearing garlands, was carried by his supporters on their shoulders to the police station.
In a video that surfaced online on Monday, Chaudhary is seen denying all allegations against him.
While opposing the application, the prosecution told the court that the accusations were severity in nature and the investigation was still at a nascent stage.
Jantar Mantar sloganeering case: HC issues notice to Delhi Police on Pinky Chaudhary's anticipatory bail plea
The trial court had stated that the country is not a Taliban state and the rule of law is the sacrosanct governing principle of our plural and multi-cultural society.
Justice Mukta Gupta issued notice on Bhupinder Tomar's anticipatory bail application and sought status report from Delhi Police.
The accused, identified as Uttam Upadhyay, was arrested from Ghaziabad on Sunday, said the police.
The arrest comes days after a Delhi Patiala House Court dismissed the bail plea of three accused in connection with sloganeering near Jantar Mantar.
A Delhi court on Wednesday had granted bail to Upadhyay, who has denied any involvement in the alleged anti-Muslim sloganeering incident.