Two small Russian drones attacked the site in the city of Sudzja on Thursday, according to Oleksij Dmytrasjkivskij, spokesperson for the Ukrainian military administration in Kursk.
According to his information, two civilians suffered concussion.
Ukraine entered Russian Kursk in a surprise counteroffensive in August last year and controls part of the region.
In central Ukraine, four civilians were killed in a Russian attack on Kryvyj Rih, reports the regional governor.
The industrial city, which is President Volodymyr Zelenskyj's hometown, has been subjected to continuous attacks since the start of the war nearly three years ago.
"Every such terrorist attack is a reminder of who we are dealing with", Zelenskyj comments on Friday's attack.
Five more people were injured in the attack, according to Dnipropetrovsk's governor Serhij Lysak.