The country's confirmed coronavirus case total now stands at 620,794.
Russia's fresh infections count dipped below 7,000 for first time since April.
The updated statistics include 176 new fatalities recorded over the past 24 hours. The country's overall death toll is now 8,781 – a rate much lower than in other countries with similar outbreaks of the disease.
8,988 people recovered over the past 24 hours, bringing the overall number of recoveries to 384,152.
227,861 COVID-19 cases remain active.
The majority of new infections (813) were reported in Moscow. The city remains the country's most-affected area in terms of total confirmed cases, with 218,604, 70,719 of which are active.
The Moscow region reported the second-largest increase in infections (390 new cases; 56,243 total), followed by the Khanty-Mansi Autonomous region (295 new cases; 7,837 total) and St. Petersburg (223 new cases; 23,294 total).
Over 18.4 million coronavirus tests have been carried out in Russia so far.
Russia's highest one-day coronavirus tally – 11,656 cases – was posted on May 11. The country is in third place worldwide in terms of total confirmed COVID-19 infections – the US is in first with over 2.42 million cases, while Brazil is in second with over 1.22 million.
Multiple regions, including Moscow, have been rolling back quarantine measures in line with a three-stage program.
Two mass events have been scheduled amid the pandemic. The delayed Victory Parade on Red Square took place on June 24, while Russia's plebiscite on amendments to the Constitution will run from June 25 to July 1. Reports have linked the early end of Russia's quarantine to the constitutional reform vote. If the majority of Russians vote in favor of the amendments, Vladimir Putin's presidential term clock will be reset, allowing him to stay in power until 2036.
As of 10.00 GMT on June 26, there are over 9.61 million confirmed COVID-19 cases worldwide, according to Johns Hopkins University's latest data. The virus has claimed the lives of over 489,500 people. Over 4.84 million patients have recovered.