The drones were destroyed over the Belgorod region bordering Ukraine and over the Oryol region, further towards Moscow, the defence ministry said in three updates during the night.
Since Ukraine launched its counter-offensive in early June, Russia has weathered waves of drone attacks that have sporadically damaged buildings, including in the capital.
Russian officials have downplayed their significance.
One attack at around 9:00 pm (1800 GMT Tuesday) by two aircraft-type unmanned aerial vehicles had been “thwarted”, the defence ministry said on messaging platform Telegram.
“The Ukrainian unmanned aerial vehicles were destroyed over Belgorod and Oryol region by air defence systems on duty,” it said.
A further drone was destroyed over Oryol around 10:30 pm, with another drone thwarted over Belgorod at about 11:45 pm, the updates said.
The ministry did not say whether the drones or their interception had caused any damage or casualties.