Shelling hit residential houses and a shopping district in Kyiv's Podil district late on Sunday, killing at least four people, city authorities said.
"According to the information we have at the moment, several homes and one of the shopping centres [were hit]," city mayor Vitali Klitschko said on his Telegram channel, reports Reuters.
He said rescue teams were putting out a large fire at the shopping centre, while other details are still to be confirmed. The Kyiv department of the state emergency service said four people had been killed.
Reuters was not immediately able to verify the reports on the ground.
Russia's invasion of Ukraine has killed thousands of people, displaced more than 3 million and raised fears of a wider confrontation between Russia and the United States.
Russian President Vladimir Putin says the "special military operation", which started on Feb 24, is aimed at disarming Ukraine and rooting out dangerous nationalists.
