Fire tenders took more than three hours to douse the flames at the Scope Hospital in Vrindavan area, near the Sanjay Gandhi Postgraduate Institute of Medical Sciences. No injury was reported.
At around 4 a.m., a UPS at the reception of the hospital burst into flames, and soon the blaze spread to other areas, creating panic.
Over two dozen patients were in the Intensive Care Unit (ICU) at the time of the fire.
Patients from the ICU have since been admitted to neighbouring private hospitals.
An official said that a probe has been ordered to check whether the hospital had fire extinguishing equipment installed and met the standard procedures prescribed by the Fire Department.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.