The regions include Greater Accra, Ashanti, Bono, and the Eastern region.
Monkeypox is a viral zoonosis (a virus transmitted to humans from animals), with symptoms similar to those seen in smallpox patients, although it is clinically less severe.
It typically presents clinically with fever, rashes, and swollen lymph nodes and may lead to a range of medical complications.
The World Health Organisation (WHO) said monkeypox is most common in remote parts of Central and West Africa and occasionally exported to other regions.
WHO said vaccines used during the smallpox eradication programme provide protection against monkeypox, and one newly-developed vaccine had been approved for the prevention of monkeypox.
It said that the virus could be contained with the right response in countries outside of Africa where it is not usually detected.