The schools are: Cransley School, in Northwich, Brine Leas Academy, in Nantwich, and Sandbach High School, in Sandbach.
They were closed today after a number of pupils returned from trips to Italy over half-term.
Italy is now the greatest coronavirus-hit country in Europe, with over 200 infections and seven deaths.
The country has locked down 11 towns, while upcoming football matches in its Serie A and the Europa League will be played behind closed doors.
Prime Minister Giuseppe Conte has said that residents could face weeks of lockdown
Cheshire is a county in northwest England, known for its rural villages of half-timber and local red sandstone buildings and for its Industrial Revolution heritage, with links to neighbouring Manchester and Liverpool. Its county seat is Chester.