The investigation is separate from the SIT and magisterial enquiries already underway in this case.
The decision was taken after Vashishth's widow Priyanka and other family member, who are alleging that he was killed in a fake encounter, met Delhi Police Commissioner B S Bassi and demanded a fair probe in the case.
Vashishth's family met the Police Commissioner at his office at Police Headquarters here this morning and shared their grievances. Bassi sympathised with them and assured them of an impartial investigation in the case, officials said.
He, however, did not give details about the policemen who have been transfererd.
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Vashishth, who was wanted in several cases of fraud and other crimes, was hit by a bullet in the gun-fight with an eight-member team of Special Cell of Delhi Police on Saturday. He was taken to a nearby hospital where he was declared brought dead.
The poor quality of the footage does not establish Delhi Police's claim that Vashishth had first fired shots and police retaliated.
The 29-second clip, which is quite grainy, shows two policemen in plain clothes walking up to Vashishth at 8:15 PM in Sagar Ratna restaurant in New Rajender Nagar area. Vashishth is seen sitting in the middle of the restaurant with several people.
As soon as Vashishth sees the police, a scuffle breaks out and the policemen are seen trying to pin him down.
Meanwhile, a preliminary post-mortem report of Vashishth revealed that he died of the bullet which hit him in the head.
Police had claimed that seeing him firing shots from his licenced revolver, a constable had fired on him in a bid to incapacitate him which led to his death.