A Ukrainian pastor described Sunday how he and his family survived a Russian missile strike on Kyiv that killed 4 people and wounded at least 10 others.

Mark Sergeev, a pastor of a protestant church, was sleeping in his apartment with his wife and his children when a Russian missile crashed near his house, setting blazes of fire and damaging dozens of houses.

He rushed to check on his children sleeping on another floor, and only after the family was outside, did he realise the scope of the damage and that his survival was unbelievable.

"It's the mercy of God that he has kept us alive, that my children are safe today, that this boy made it out from under the rubble. Because when the rescuers came in, they said, 'we can't believe that everyone is alive'," he said.

The strikes that began overnight and continued after dawn on Sunday also targeted residential buildings, civilian infrastructure, a medical facility and a kindergarten, according to Kyiv Mayor Vitali Klitschko, who also said that damage was reported at more than 20 locations across the capital.

Dozens of residential buildings were heavily damaged by the attack.

Emergency services personnel used power saws to clear the debris.

Piles of glass littered nearby sidewalks as building residents, some looking shaken, sat on benches.

Sergeev said he was a pastor at a protestant church in Melitopol before Russian forces occupied the city, seizing his house.

The strike on Sunday left him without a home again but he said he is grateful.

"This is God's mercy, he said.

"I am certain God will not abandon us, nor Ukraine, nor our people."

AP Video shot by Dan Bashakov