The deceased has been identified as Tayyab, a resident of Shahdara.
The incident took place at around 4.36 pm inside the Court premises.
Tayyab was accused in a case of chain-snatching registered at southeast Delhi's Sunlight Colony police station.
"He was in room number nine of the Court for a hearing when he allegedly jumped from the fifth floor of the court," said Vijay Kumar, Deputy Commissioner of Police (south).
Further investigations are on, police added.