Justice Pratibha Rani also upheld the order of a special court by which the plea of accused Mukesh and Akshay Singh against day-to-day trial was rejected.
In their petition, they had sought quashing of FIR on the ground that police manipulated it as the original complaint was silent about the names of the accused persons.
The special fast track court's March 28 order dismissing their plea for conducting proceedings on alternate days instead of on day-to-day basis was also challenged by them.
They had wanted proceedings to be held on alternate days so that their counsel can seek instructions on cross-examining witnesses.
The trial court had dismissed their plea, saying "such pleas are made to delay the proceedings."
Initially, five adult accused in the case were facing trial for allegedly gang-raping and assaulting a 23-year-old girl in a moving bus here on the night of December 16, 2012.
With the proceedings against the main accused Ram Singh having abated after his death on March 11, the remaining four adult accused Mukesh, Vinay, Akshay and Pawan Gupta are facing trial in the case for rape and murder of the girl.
The sixth accused in the case is a juvenile, who is facing proceedings before the Juvenile Justice Board.
The girl had died on December 29, 2012 in a Singapore hospital due to the grievous injuries she suffered when she was brutally assaulted by the six accused.
Delhi gang-rape accused deny being on bus on Dec 16 night
Cops cannot get BA exam schedule for gang rape accused
'Assaulted' Delhi gang rape accused fears return to Tihar
'One hardly finds a rich person going to the gallows'
Boxer Vijender's dope test negative: Sports ministry