On its Twitter page, NCDC said one of those infected is in Rivers while Lagos and Abuja recorded two new cases each.
The centre said three of the new cases are returning travellers while two are close contacts of an infected person.
Coronavirus is now in eight states and the federal capital territory (FCT). While Lagos has the highest number with 32, FCT follows with 10 and Ogun, three.
Ekiti, Oyo, Edo, Bauchi, Osun, and Rivers have one case each. Two persons had earlier recovered from the disease which has killed one person in Nigeria.
For a breakdown of cases by states in real time, please see https://t.co/zQrpNeOfet
Total: 51 confirmed cases#COVID19Nigeria
— NCDC (@NCDCgov) March 25, 2020