The two had requested a stay, which was granted until March 31, the Times of India reported. The high court confirmed the death sentences for all four men Thursday.
The victim, a 23-year-old student, died days after the assault on a New Delhi minibus in December 2012. Investigators said she was attacked by five men and a juvenile who raped her over and over and pulled out her internal organs.
The woman was on her way home from a movie with a male friend.
In its decision Thursday, the court said the crime was made worse by the rapists' comparatively comfortable economic circumstances -- describing them as "usefully and gainfully employed" -- and by their lack of remorse.
"Their conscience un-pricked by the gruesome crime and the infernal torture inflicted by them, they coolly proceeded to divide the looted articles amongst themselves, to wash the bus which was stained with the blood of the victims," the court said.