He is said to have developed these over the weekend.
While self-isolating he is expected to keep in touch with Downing Street colleagues remotely.
Downing Street declined to comment on Mr Cummings’s situation this morning.
As well as having been a prominent figure in Mr Johnson’s team, Mr Cummings is also known for his role in the Vote Leave campaign ahead of the EU referendum.
Health Secretary Matt Hancock has also contracted the virus .
While Chief Medical Officer for England Chris Whitty is self-isolating due to symptoms, as is Scottish Secretary Alister Jack.