Russia has confirmed 674,515 cases, the third largest total in the world, although the daily infection rate has been falling over the last month.
The country's death toll is much lower than in other countries with large outbreaks, raising questions over possible underreporting of deaths.
Russia has acknowledged that the death figure on the government website only includes cases where the virus was classed as the main cause of death on the death certificate.
The official statistics agency has released national death data for April alone, where the toll -- of 2,712 -- is more than double the government's total of 1,152 for that month.
That is because it uses a broader definition on the basis of World Health Organization recommendations and includes cases where the victim tested positive but the virus was not classified as the main cause of death, or where there was no positive test but an autopsy ruled the virus was the main cause of death.
Moscow city health department also released data on deaths in May using this method of classification, showing 5,260 virus-related deaths that month.