Emergency services in eastern Donetsk Region, in a statement on Facebook, said the death toll stood at nine at midnight (2100 GMT), including a two-year-old child.
Pavlo Kyrylenko, governor of Donetsk Region, told national television earlier that seven Russian S-300 missiles had been fired.
Rescue teams searching for victims sifted through rubble through the night, using cranes, ladders and other heavy equipment in the shells of apartments and stairwells.
[1/5] A man stands next to a residential building damaged by a Russian military strike, amid Russia's attack on Ukraine, in Sloviansk, Donetsk region, Ukraine April 14, 2023.
"The evil state once again demonstrates its essence," Zelenskiy wrote in a separate post accompanied by footage of a damaged building.