The victims worked at the gurdwara and lived on its premises, police said, adding that the incident was reported in the early hours today.
Three fire tenders were rushed to the spot and a joint rescue operation was conducted by Delhi Disaster Management Authority, Delhi Fire Services and Delhi Police after authorities were notified at around 2.30 A.M., said a senior police official.
The five victims were rushed to LNJP Hospital, where the five-year-old girl, identified as Kuljeet Kaur, was declared brought dead.
"A case has been registered under Section 304A (causing death by negligence) of IPC and an investigation is under way," the official added.