The petition was moved by Awadhesh Bhargava, a journalist and social worker in Bhopal, who raised doubts over the veracity of the encounter.
"The action of the authorities amounts to violation of human rights and it is an abuse of process of law," the petition said while seeking a judicial investigation into the police action.
The eight SIMI activists, who pulled off a daring prison break and escaped in the wee hours on Monday after killing a security guard at the Bhopal Central Jail, were gunned down in an encounter at Malikheda on Bhopal outskirts hours later.