The incidents were similar to waves of Ukrainian drone attacks targeting Moscow and other cities last week.
Russia in the past week also sent waves of drones to attack Ukrainian cities, including what Ukrainian President Volodymyr Zelenskiy described as the launch of more than 900 drones over a three-day period ending early on Monday morning.
Moscow Mayor Sergei Sobyanin, writing in a series of posts on the Telegram messaging app, said Defence Ministry units had repelled 27 drones while they were travelling towards the Russian capital.
Sobyanin made no mention of casualties or damage, saying only that recovery teams were examining drone fragments at the sites where they hit the ground.
Russia's Defence Ministry had earlier said its units had downed 112 drones between 9 p.m. and midnight Moscow time. Fifty-nine of those drones were intercepted over the Bryansk region on the Ukrainian border, with other incidents occurring in five different regions.
The governor of Bryansk region reported no casualties, but said a house and six cars had been damaged in the attack.
In Smolensk region, near the Polish border, the regional governor said 11 drones had been downed, with no casualties.
Ukrainian President Volodymyr Zelenskiy said on Monday that more than 900 missiles had been fired at Ukrainian targets over a three-day period ending early on Monday. The numbers tapered off on Monday night to Tuesday morning.
The three-night barrage struck a series of cities and included some of the biggest drone and missile attacks on Ukraine since Russia began its full-scale war in early 2022.
The strikes on Saturday night killed at least 12 people, Ukrainian officials said, including three children in the region of Zhytomyr, west of Kyiv.
(Reporting by Reuters; Editing by Bill Berkrot, Sandra Maler and Lincoln Feast.)

Ukrainian servicemen from the 108th Brigade of Territorial Defence prepare to fly a Ukraine-made multi-purpose drone Leleka-100 on a field near a frontline in the direction of Zaporizhzhia, Ukraine, 15 February 2024, amid the Russian invasion. Russian troops entered Ukrainian territory on 24 February 2022, starting a conflict that has provoked destruction and a humanitarian crisis. EPA-EFE/KATERYNA KLOCHKO