Kremlin spokesman Dmitry Peskov told the Interfax news agency on Tuesday: "Yes, I've gotten sick. I'm being treated."
Coronavirus infections are rising in Germany, official data shows, just days after the country eased its lockdown restrictions.
Russia has marked 75 years since victory over Nazi Germany in World War Two despite cancelling its traditional military parade because of the coronavirus outbreak.
UK airlines say they have been told the government will bring in a 14-day quarantine for anyone arriving in the UK from any country apart from the Republic of Ireland in response to the coronavirus pandemic.
Italy has become the first country in the European Union to register more than 30,000 coronavirus-related deaths.
Leaders across Europe are marking the 75th anniversary of VE Day with low-key ceremonies, as much of the continent remains under coronavirus lockdown.
Measures to curb the spread of coronavirus will be kept in place in Paris when the lockdown is eased in other parts of France, its PM says.
Chancellor Angela Merkel has said Germany's goal of slowing the spread of coronavirus has been achieved, so all shops can be reopened as lockdown restrictions are eased.
Russia has recorded 10,633 new coronavirus infections in the past 24 hours, the highest daily rise since the outbreak began in the country.
Boris Johnson has revealed "contingency plans" were made while he was seriously ill in hospital with coronavirus. In an interview with the Sun on Sunday, the PM says he was given "litres and litres of oxygen" to keep him alive.
Russia's unmanned Luna-25 spacecraft has crashed into the Moon after spinning out of control, officials say.
Donald Trump has confirmed that he will not take part in Republican presidential debates with his rivals in the race for the White House.