Missile debris came down in a central Kyiv district on Monday morning and a residential building was damaged, city authorities said after a string of explosions rang out across the Ukrainian capital.
A Reuters reporter saw a column of smoke rising in the east of the city.
Ukraine's air force had warned in a Telegram message moments before the explosions that a missile was flying towards the city.
"Explosions in the capital. Urgently to the shelter!" Kyiv city mayor Vitali Klitschko wrote on the Telegram messenger.
Russia has dramatically stepped up its missile strikes on Ukraine in recent days.

Death toll from Venezuela quakes rises to 3,535 as thousands remain displaced
Russian strikes kill 26, exposing Ukraine air-defence shortages
Clashes escalate at Sri Lanka prison to leave 25 dead, many more injured
Six killed in India's Mumbai as rains wreak havoc, disrupt travel
Wildfire in southern France forces 10,000 people from their homes