The air attack damaged electricity lines and left 140,000 Kyiv residents without power, Mayor Vitali Klitschko said on Telegram early on Monday, adding that houses and cars also caught fire after being hit by drone debris.
The city's central Kyiv Pechersk Lavra monastery was hit by a direct strike and a high-rise apartment building was also on fire, Tymur Tkachenko, the head of the capital's military administration, said in a separate Telegram post.
The city was under a massive missile attack, he added.
Five people were injured, with one woman in a serious condition, Klitschko said, without giving further details.
Drones continue to attack Kyiv from different directions, Ukraine's Air Force said on Telegram, with explosions heard in the city, a Reuters witness said.
The latest strikes come after Ukrainian President Volodymyr Zelenskiy said on Sunday he had spoken to US President Donald Trump and discussed efforts to achieve an end to the more than four-year war, ahead of a G7 meeting in France this week.
"All Ukrainians have one wish for President Trump: that we may finally achieve peace, and achieve this success together with the US and all our partners," he said on X.
"This is the most important thing we want, and it is crucial that American society is fully supporting this Ukrainian aspiration for a dignified peace."
Russian President Vladimir Putin also called Trump, according to Russian presidential aide Yuri Ushakov, who briefed reporters afterwards.
On Ukraine, Ushakov said Trump emphasised the need to end hostilities and stated his readiness to influence European allies and Kyiv toward that goal, including at the G7 summit.
Trump also said that recent strikes on civilian targets in Russia complicate a settlement - though the White House has not confirmed that, nor commented on the call - and said that ending the war quickly could open the door to "a truly new quality of US-Russian relations," Ushakov quoted him as saying.
Putin argued that attacks on Russian civilian infrastructure by Kyiv would not change Ukraine's position on the battlefield, and said that if Zelenskiy wants a meeting with him, "let him come to Moscow", according to Ushakov.
Trump told Putin that ending the conflict in Ukraine was vital and he was ready to help, the Kremlin said.
with dpa