Rescue crews were pulling residents from buildings shattered by the overnight barrage, Kyiv's Mayor Vitali Klitschko said.
Tymur Tkachenko, head of the city's military administration, said the death toll included two bodies pulled out of a heavily damaged apartment building in the historic Podilskyi district. Altogether, 24 people were injured throughout the city.
Four residential buildings had been struck in the Podilskyi district alone.
Klitschko said rescuers were pulling residents from apartments damaged on both sides of a building.
"From a building in the Podilskyi district, where a partial collapse occurred, rescuers evacuated 15 people," he wrote on Telegram.
"Three women and six children were taken down from the upper floors."
Klitschko said two people had died in the eastern Darnytskyi district, where drone fragments struck a 25-storey apartment building, and rescue teams were working to free residents trapped on upper floors.
He also said a fire had broken out in a 30-storey building in Darnytskyi, where many died in a strike on Thursday, when Russia launched hundreds of drones and dozens of missiles at the city, killing at least 30 people.
President Volodymyr Zelenskiy had earlier warned residents of an imminent Russian attack.
Reuters witnesses reported a series of explosions in and around the capital and said air defences were in action against Russian drones.
Reuters pictures showed rescue teams clambering over rubble by a shattered apartment building and whisking people out on stretchers. Smoke wafted through the air.
Pictures posted on unofficial Telegram channels showed several high-rise apartment buildings and a commercial building ablaze after being struck. Other pictures showed serious damage to building interiors.
Bloggers told residents to shut their windows as air quality deteriorated. Residents crowded into shelters in the city's metro and in underground parking garages.
Ukraine's neighbour Poland, a NATO and EU member, briefly scrambled fighter jets as a preventive measure.
7°C