At least nine airports in central and western Russia temporarily halted traffic, while strikes forced the closure of schools in the southwestern Saratov region.
The strikes in the border region of Bryansk caused explosions at an oil refinery, ammunition depots and a chemical plant said to be producing gunpowder and explosives, a Ukrainian security source told the BBC.
But Kyiv has also struck much deeper into the country, with the General Staff claiming to have struck targets up to 1,100 km (700 miles) from the border.
In the western region of Saratov, officials reported a “massive” drone attack.
Two industrial enterprises in the cities of Engels and Saratov were affected, the governor of the region, Roman Uladzimirovich Busargin, wrote in Telegram.
Students studied online Tuesday after local schools were closed.
Last week, Kyiv said it had struck an oil storage facility in Engels, prompting several days of firefighting efforts and Busgarin declaring a state of emergency.
Officials in the western region of the Tula region also reported a nighttime attack, where the governor of the region Dmitry V. Miliaev said that Russian anti-aircraft defenses shot down 16 drones.
According to him, there were no casualties, although the wreckage damaged some cars and buildings.
Elsewhere in the southwestern region of Tatarstan, a drone strike hit a gas storage facility near Kazan, with no casualties reported.
Moscow also launched dozens of drones across Ukraine overnight after receiving several warnings of airstrikes in and around Kiev.
Ukraine’s air force said it shot down about 60 of the 80 drones involved in the attack, with no casualties.