The government has directed that testing capacity should be doubled in the next two days and tripled by the end of the week, according to a news release.
The New Delhi government will also be conducting house-to-house health surveys for contact tracing in containment zones in the city.
Private hospitals have been asked to ensure 60% of their beds are available to Covid-19 patients in anticipation of a possible influx of positive cases.
The measures come after 500 railway coaches, which were converted into isolation wards, will be moved into the city to increase the number of beds.
The Ministry of Railways said that 50 coaches equipped with the needed medical facilities have been installed at two local railway stations in the city.
The total number of confirmed cases in New Delhi stands at 42,829, including 1,400 deaths, according to the Ministry of Health and Family Welfare.
The city has reported the third-highest number of cases in the country.