The protestor moved their position from the High Court premises to Shikkha Bhaban after the chief justice announced his resignation on Saturday.
Chief Justice Obaidul Hassan announced his resignation by Saturday evening.
He said that he will submit his resignation letter to the president as per the rules. When asked what the other judges would do, the chief justice could not say anything about them.
However, the protesting students have announced that they will continue their agitation until the resignation of the chief justice and other judges of the Appellate Division.
Hasnat Abdullah, coordinator of the Anti-Discrimination Student Movement, said: "The movement will continue until the chief justice and other judges of the Appellate Division resign."
Until then, he urged everyone to stay on the streets.
Chief Justice Obaidul Hassan had called a full court meeting on Saturday, involving all judges of both divisions of the Supreme Court, but later announced its adjournment.
The protesting students have referred to this full court meeting as a "judiciary coup."
In response, they announced a program to besiege the High Court.
Subsequently, Hasnat Abdullah, coordinator of the Anti-Discrimination Student Movement, issued an ultimatum for the resignation of the Appellate Division judges, including the chief justice.
Around 11am on the High Court premises, Abdullah declared: "If you do not resign, we will surround the residences of the chief justice and the other party judges and force them to resign."
The students then positioned themselves on the court premises, chanting slogans demanding the resignation of the judges.
Earlier, Youth and Sports Adviser, Asif Mahmud, posted a Facebook status on Saturday with an ultimatum for the chief justice's immediate resignation.
Asif Mahmud said: "Chief justice of the Supreme Court, nurtured by fascism and involved in various misdeeds, has called a full court meeting without any discussions with the government. No conspiracy by the defeated forces will be tolerated. Students and lawyers have already started to gather in protest."
Another coordinator of the student movement, Hasnat Abdullah, came on a Facebook live in the morning and said: "To protect the uprising of students and citizens, surround the High Court to stop the judiciary coup."
He also called on people to march towards the High Court from wherever they are.
In a Facebook post, he later said: "We had already called for the chief justice's resignation. If they take a stance against the students and incite them, they will have to face dire consequences."
Urging immediate and unconditional resignation, Hasnat Abdullah said: "Otherwise, the same public that could dethrone the autocratic Hasina will not take even half an hour to pull you down from your chairs."