A bench of Justices S Ravindra Bhat and Dipankar Datta also sought a report from the UP government on the police encounter of Ahmad's son Asad in Jhansi.
Atiq Ahmad (60) and Ashraf were shot dead at point-blank range by three men posing as journalists in the middle of a media interaction on April 15 night while police personnel were escorting them to a medical college in Prayagraj for a checkup.
The commission has sought reports from the Uttar Pradesh DGP and the CP of Prayagraj within four weeks.
Citing a statement issued by Uttar Pradesh Director General of Police R K Vishwakarma, Special Director General of Police (Law and Order) Prashant Kumar said the SIT was formed on the instructions of the Commissioner of Police of Prayagraj.
The bodies of the two brothers, who were gunned down by three assailants posing as journalists in Prayagraj on Saturday night, were handed over to the family members after conducting the post-mortem examination for performing the last rites.
According the the statement issued by Special DG (Law and Order) Prashant Kumar, the attackers used made-in-Turkiye pistols and fired indiscriminately from point-blank range on the two bothers.
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Luvlesh Tiwari (22) of Banda, Mohit, alias Sunny, (23) of Hamirpur and Arun Kumar Maurya (18) of Kasganj were caught on the spot after shooting Atiq and his brother dead outside a hospital in the Shahganj area in Prayagraj on Saturday night.
Apart from Ahmad and Ashraf, four others named in the FIR -- Asad, Arbaaz, Vijay Chaudhary alias Usman, and Ghulam -- have also been killed.
Hours after Asad was interred, Atiq Ahmad (60) and his brother Ashraf were shot dead at point-blank range by three men posing as journalists.
The commission will be headed by high court judge (retired) Arvind Kumar Tripathi, and retired judge Brijesh Kumar Soni and former DGP Subesh Kumar Singh will be its members, officials said in Lucknow.
The alleged assailants, Lavlesh Tiwari (22) of Banda, Mohit alias Sunny (23) of Hamirpur and Arun Maurya (18) of Kasganj, were arrested by policemen accompanying the Ahmad brothers.
Ahmad (60) and his brother Ashraf were shot dead at point-blank range by three men posing as journalists in the middle of a media interaction on Saturday night while police personnel were escorting them to a medical college in Prayagraj for a checkup.
The shooting was caught on camera as mediapersons were following the duo being escorted to the hospital by the police for a medical checkup.
Ahmad's brother Khalid Azim alias Ashraf and six others have been acquitted in the case.
Ahmed said the Uttar Pradesh police were in all likelihood seeking his transit remand and police remand to take him from Ahmedabad to Prayagraj and he "genuinely apprehends that he may be eliminated during this transit period".