"Fifty-eight people have tested positive for Influenza A (H1N1) virus. One death was reported from Apollo Hospital and another from Jaipur Golden Hospital," a Delhi Health Service doctor told IANS.
Doctors said there has been a sudden spurt in swine flu cases.
This month, the virus infected 262 people, of which six have died. In January, 39 cases were reported and one succumbed to the virus.
According to the Delhi government, 78 swine flu cases and one death was reported in 2012.
"Symptoms of the flu are unrelenting high fever and sudden breathlessness," said Suranjit Chatterjee, internal medicine consultant at Apollo Hospital.