Authorities in Kyiv said it looked like all incoming rockets had been destroyed, but falling debris caused some damage in two neighborhoods.
Officials say that a missile attack on the Black Sea town of Odesa killed one person and hurt two others.
Blasts were also heard in Vinnytsia, Khmelnytsky, and Zhytomyr, which are all in the central-western part of Ukraine.
The Ukraine’s Air Force said in a statement that 29 of the 30 missiles fired by Russia overnight were shot down.
In another event, train travel between Simferopol and the city of Sevastopol was stopped after a freight train carrying grain overturned. Simferopol is the regional capital of Crimea, a part of Ukraine that Russia took over in 2014.
Vladimir Konstantinov, who was put in charge of the regional parliament by Moscow, told Russia’s state media that an explosion caused the train to go off the tracks. There is now a probe going on.
In the latest attack on Kyiv, which happened overnight, Russia used cruise missiles and reconnaissance drones, according to a statement from the capital’s military government.
It said that “a series of air attacks on Kyiv that are stronger, more intense, and more varied than ever before, are still going on.”
On Tuesday, Ukraine said that it had shot down six Kinzhal hypersonic missiles as part of a “exceptionally dense” attack.
Before the all-clear was given, Vitali Klitschko, the mayor of Kyiv, said that a fire had started in a garage in the Darnytsya neighborhood, but that no one had been hurt.
The head of Kyiv’s civilian military administration said that Russian strategic bombers over the Caspian Sea fired a heavy missile attack.
Serhiy Popko said that the attack probably used cruise missiles. He also said that after the air strikes, Russia sent surveillance drones over Kyiv.
He said that a second fire had started in an office building in Kyiv’s Desnyansky area, but he didn’t say if anyone had been hurt.
At least eight people were killed by shelling near Kherson on Wednesday, including a five-year-old boy, and 17 were hurt. Both sides blamed the other for hitting residential areas.
Slowly but surely, Ukraine is getting ready to attack Russia’s occupying forces in a big way.
Western officials say that Ukraine’s army is in “an increased state of readiness” before a long-awaited counterattack against Russia’s invasion.
The officials said that many of Kyiv’s military skills were now “coming together.” These included the ability to use tanks, fighting vehicles, and combat engineers, as well as to clear mines, cross rivers, and hit long-range targets.
They said that Russian troops were in bad shape but that Moscow’s defense lines in Ukraine were “potentially formidable” and protected by “extensive minefields.”
So, the officials said that the success of any Ukrainian attack shouldn’t just be measured by how much land it takes back, but also by whether it gets Russian President Vladimir Putin to change his plan.
They said it was more important for the “cognitive effect on the Kremlin” than for Ukrainian troops to break through Russian lines all the way to the border.
Wednesday, Ukraine’s Foreign Minister Dmytro Kuleba met with a Chinese official in Kyiv and said that they would not agree to a peace plan that would mean giving Russia land.
But a deal that lets Ukraine ship millions of tons of grain through the Black Sea has been extended for another two months, just one day before it was supposed to end.