People have also been urged to only use public transport for essential journeys in order to keep the network free for critical workers. Buses are also affected.
The move pre-empts further measures potentially coming into place to prevent the spread of the virus in the capital.
London has seen the most cases of anywhere in the UK, with 953 confirmed patients in the capital, according to Public Health England.
The city has been said to be weeks ahead in terms of the spread in comparison to other areas, prompting the prime minister to urge Londoners to pay particular heed to advice.
London Underground stations closures:
Bakerloo Line: Lambeth North, Regents Park, Warwick Avenue, Kilburn Park, Charing Cross
Central Line: Holland Park, Queensway, Lancaster Gate, Chancery Lane, Redbridge
Circle Line: Bayswater, Great Portland Street, Barbican
District Line: Bow Road, Stepney Green, Mansion House, Temple, St James’s Park, Gloucester Road
Jubilee Line: Swiss Cottage, St John’s Wood, Bermondsey, Southwark
Northern Line: Tuffnell Park, Chalk Farm, Mornington Crescent, Goodge Street, Borough, Clapham South, Tooting Bec, South Wimbledon, Hampstead
Piccadilly Line: Caledonian Road, Arsenal, Covent Garden, Hyde Park Corner, Bounds Green, Manor House
Victoria Line: Pimlico, Blackhorse Road