The protesters under the banner of Anti-Discrimination Student Movement have announced that they will not leave the streets until the remaining six judges resign.
Rifat Rashid, one of the protest coordinators, made the announcement on Saturday afternoon.
He said: "Even though the chief justice has resigned, the other six justices have not yet. We will not leave the streets until they resign.
“If the chief justice is not there, automatically, one among the six will take his place. We will stay on the streets until they resign," he added.
Chief Justice Obaidul Hassan stepped down from his post as head of the judiciary body in Bangladesh in the face of student protests.
Earlier, 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.
Later, 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.