The court also expressed surprise as to how the bus, having tinted glasses, kept plying on Delhi roads for 40 minutes during which the sexual assault of the girl remained undetected.
"We are at loss to understand as to how the bus could vade surveillance for 40 minutes... The commissioner of police is directed to file a report including the details of police officers, who were on patrolling duty in the area.
"The police commissioner shall also state the steps taken to remove the tinted glasses from vehicles including public transport," the court said.
The bench asked the police to employ sufficient number of police personnel at all entry points to the national capital to ensure that vehicles with tinted glasses do not sneak in.
The court, which also asked the director of the Central Forensic Science Laboratory to accord primacy to the investigation in the present case, sought to know about the present status of the victim inside the government hospital and asked the Delhi government to consider shifting her to a super specialty hospital.
"We direct the Delhi government to shift, if possible, the victim to a super specialist hospital. If it is not possible to shift her, then the experts be asked to visit her," Justice Murugesan said and posted the matter for hearing on Friday.
Earlier during the hearing, the court said that it has accepted the request of the chief minister to constitute fast-track courts for speedy trial in rape cases.
Advocate Najmi Waziri, counsel for the Delhi government, then said that the court may also consider setting up of fast track court for gang-rape cases also.
"In any case, the fast track courts will not work if investigation is of poor quality. Rather it will lead to acquittal within three months," Justice Endlaw responded and added, "that the probe has to be of high standards. Have you examined the bus forensically."
Waziri informed the court that a special investigation team headed by DCP Chhaya Sharma has been formed and a proper and expeditious probe is underway.
On Tuesday, a group of 25 women lawyers had mentioned the matter before a different bench, which had assured them that it was looking into the "brazen" incident.
"It was a brazen attempt by some persons who think that they can play with the law and order.. We are very disturbed," the court had said, adding "strong signals must be sent to the perpetrators" of this "unfortunate" incident.
The lawyers, including former DUSU President Monica Arora, mentioned the incident before the bench urging it to take suo motu cognisance and monitor the probe in the case.
A Delhi court had on Tuesday remanded the bus driver Ram Singh, who along with others allegedly gang-raped the girl on Sunday night, to five days in police custody.
Apart from Singh, three others have been arrested in the case, while the hunt is on for the rest, the Delhi police had told the court.
The girl, a paramedical student, was raped and brutally assaulted before being thrown out of the moving vehicle along with her male friend.
Both the victim and her male friend, who had boarded the chartered bus with tinted glass windows from Munirka in south Delhi to Palam around 9.45 pm on Sunday night, were assaulted with an iron rod by the men after the two resisted before they were dumped on the road side near Mahipalpur flyover, police said.
Delhi police may seek death penalty for rapists
Girl gangrape: Govt may install CCTV cameras in buses
Gang-rape case: Delhi Police cracks down on private buses
'I am scared as a father of a 17-year-old daughter'
Shinde promises swift justice in Delhi gang-rape case