Peskov told reporters that he would stay and work under home quarantine for some time and later gradually return to work.
He tested positive for COVID-19 on May 12 before being hospitalized with moderately serious symptoms.
Peskov is the fourth of six senior Russian officials recovering from the virus along with Prime Minister Mikhail Mishustin, Culture Minister Olga Lybimova and Education Minister Valery Falkov.
Meanwhile, two more prominent figures — Construction Minister Vladimir Yakushev and his deputy Dmitry Volkov — are under medical surveillance at the hospital after they were diagnosed with the virus.
The number of coronavirus cases in Russia surpassed the 350,000 mark on Monday, after 8,946 new cases rose the tally to 353,427, along with 92 more fatalities, pushing the death toll to 3,633.
Meanwhile, recoveries reached 118,798, including 5,499 reported since Sunday.
Russia is continuing with its mass testing efforts, in a bid to detect the virus at its early stages when it is less contagious. To date, as many as 8.9 million tests have been carried out in the country, while more than 287,000 are under medical surveillance with suspected infections.
Despite strict measures, including a lockdown of the capital Moscow, an entry ban on foreigners and stateless people and the suspension of international air and railway traffic, Russia is the third worst-hit country in terms of number of cases, following the US and Brazil.
