Ukrainian authorities say air-defense forces shot down all 15 missiles and 21 drones over the capital, Kyiv, as Russia launched its sixth consecutive day of attacks on the capital.
Ukraine's Prosecutor General's Office said a 68-year-old man and an 11-year-old child were wounded in the June 2 attacks, which came from several directions and hit residential areas.
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Kyiv Mayor Vitali Klitschko, who earlier reported two separate waves of attacks, said on Telegram there had been no calls for rescue services.
“Already after the alarm, smoldering fragments of a rocket were found on the road in the Darnytsya district of the capital. The rescue and fire service is on its way to the scene," Klitschko wrote.
Russian troops have intensified their attacks against Ukrainian cities, particularly Kyiv, since the start of May.
The Ukrainian capital has been targeted by 19 waves of Russian air strikes since the start of May.
Kyiv military authorities have said that as a result of falling rocket fragments on the capital on June 1, three people were killed, including a child. Another 11 people were injured.
Two of those killed were hit by debris after they weren't able to enter a bomb shelter that was locked, sparking anger among many residents.
Klitschko said on June 2 that the city will immediately implement mandatory controls of all shelters to ensure they are always open.
"The city authorities are strengthening control over the work of shelters. Yes, there are questions. And we will work on it," he said, adding that residents can also volunteer to control facilities to make sure they are accessible.
SEE ALSO: Moscow Does Not Believe In Drones: Why Are Military-Grade Drones Flying Over The City And Who's Behind It?"The enemy is now shelling the capital with ballistic missiles. When the alarm sounds, it's a matter of minutes. If you think you cannot get to a shelter in time, follow the rule of [standing by a junction of] two walls in the house," he added.
The head of the Kharkiv regional military administration, Oleh Sinehubov, said late on June 2 that Russian troops attacked a village in the Kharkiv region with two guided aerial bombs, killing an elderly man and a woman. In addition, three women and a 3-year-old boy were injured, he said.
Meanwhile, the governor of Russia's Belgorod region, which shares a border with Ukraine, said four people were killed in separate incidents on June 2.
In the first, two women were traveling by car near the town of Shebekino when shrapnel hit their vehicle, killing them, Governor Vyacheslav Gladkov said on Telegram, blaming Ukrainian army for the attack. Two men were hospitalized with serious injuries, he added.
Gladkov said later that two people were killed and six injured when rockets hit the town of Sobolevka, 125 kilometers southeast of the first incident. The victims had been standing near residential buildings, he said.
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Other Russian regional authorities said earlier that two villages in the country’s western Bryansk region were shelled by Ukrainian forces.
Regional Governor Alexander Bogomaz said on Telegram that no one was injured in the attacks.
The governor of the southern Kursk region, which also borders Ukraine, said air-defense systems shot down "several" Ukrainian drones. He did not say if there were any casualties.
None of the reports could be independently verified.
The increase in attacks comes days after Chinese Special Representative for Eurasian Affairs Li Hui toured Europe to try and make progress on a peace agreement to stop the fighting.
Speaking at a news briefing in Beijing on June 2, Li said that while the "risk of escalation" was "still high," China is "willing to do anything" to help mediate the situation and is willing to send another delegation for further peace talks.
SEE ALSO: The Week In Russia: Drone WarsOn a trip to Finland, NATO's newest member, U.S. Secretary of State Antony Blinken on June 2 called the invasion of Ukraine a "strategic failure" for Russia, pointing to Western unity and Moscow's losses.
"Putin's war of aggression against Ukraine has been a strategic failure -- greatly diminishing Russia's military, economic, and diplomatic power and its influence for years to come," Blinken said in a speech in Helsinki.
Blinken also said the United States was working with Ukraine and other allies to build consensus around the core elements of a "just and lasting peace" to end the war.
"We will support efforts -- whether by Brazil, China, or any other nation -- if they help find a way to a just and lasting peace," Blinken said in his speech.