There are reports of a large number of explosions in the Ukrainian capital, Kyiv, and air raid sirens have been sounding there, reports BBC.
In video on social media, air defence systems can be seen shooting down suspected Russian missiles.
Government messages warned people to keep away from windows as debris from intercepted missiles fell from the sky.
City mayor Vitali Klitschko said some rocket debris had fallen in central districts, including on the city's zoo.
There are reports of injuries.
The complex attack, which used both drones and missiles, was described as being "exceptional in its density" by one Kyiv official.
Serhiy Popko, head of the Ukrainian capital's military administration, described the barrage as being the "maximum number of attack missiles in the shortest period of time".
"According to preliminary information, the vast majority of enemy targets in the airspace of Kyiv were detected and destroyed," he added.
In the past few days, President Volodymyr Zelensky has been on a European tour, in which he has been promised several billion dollars' worth of military equipment by Western allies, including UK Prime Minister Rishi Sunak and President Emmanuel Macron of France.
Since Russia invaded Ukraine on 24 February of last year, thousands of civilians and combatants have been killed or injured, cities and towns have been destroyed in fighting, and nearly 8.2 million Ukrainians have been registered as refugees in Europe, with 2.8 million of them in Russia.
Bd-pratidin English/Lutful Hoque