Supreme Court lawyer Dr Md Yunus Ali Akanda filed the writ petition with the HC section concerned.
Speaking reporters after filing the petition, he said directives were sought to arrest the accused those involved in the murder directly.
Hearing on the writ petition is expected to be held tomorrow (Monday) at the bench of Justice Kazi Zinnat Hoque and Justice Aynun Nahar Siddiqua, he said.
On July 9, a group of people killed the 39-year-old vendor indiscriminately by stabbing and hitting with a knife and a stone in front of the hospital in broad daylight.
A video showing the brutality went viral on social media, triggering severe outcry in the country.
University students, activists of political parties staged demonstrations demanding the arrest of the killers immediately.
Victim’s elder sister Manjuara Begum filed a murder case naming 19 people and 15 to 20 unidentified ones with Kotwali Police Station and police filed another case under the Arms Act.
Meanwhile, BNP has expelled five leaders of Jubo, Swechasebak and Chhatra Dal from the party for their alleged involvement in the murder, reports UNB.