In the port city of Odessa in the south, several buildings have been damaged in a "massive attack" with drones, reports the region's governor Oleh Kiper on Telegram. A large fire broke out in the city's largest and oldest food market, Privoz, after it was hit.
Monuments in Odessa's world heritage-listed historic city center have also been damaged in the attacks.
In Kharkiv, three people were killed and five injured in Russian attacks, writes governor Oleh Synehubov on Telegram.