The Russian-backed mayor of the eastern Ukrainian city said on Telegram that two civilians died in Donetsk on Sunday after shelling by Ukrainian forces.
Alexey Kulemzin said that a young man born in 2005 and a woman born in 1956 died as a result of enemy fire.
Reuters was unable to immediately verify the report.
Earlier on Sunday, a civilian was killed in the southern Ukrainian city of Kherson in Russian military shelling, the local governor said.