Dr Anil Kumar was found dead inside the ICU of the surgical wing of the hospital where he was performing his duty, said Eidgah Station House Office (SHO) Naeemudin.
Kumar went inside ICU around 5:30 AM and was found dead three hours later, the police official said.
He said the doctor did not answer a knock on the door. The door was broken and Kumar was found dead sitting on his chair. A syringe was found from the spot.
"It appears he had administered an injection on his hand as it was bandaged," Naeemuddin said.
Kumar's body was shifted to the hospital's mortuary where doctors reserved his cause of death for chemical examination while the syringe has also been sent to a forensic laboratory for examination.
Earlier this week, a Hindu businessman was killed and his Hindu friend injured by a mob during protests over the desecration of a holy book.