Moscow is focused on the “energy infrastructure throughout Ukraine” and is trying to intimidate Ukrainians with “cold and lack of light”, Mr Zelenskyy said.
The president added: “The whole world sees and knows that we are defending ourselves against absolute evil, which does not understand any language but force.
“We need unity [and] the world needs unity. Only together can we stop this evil.”
Two people were killed and a 17-year-old boy was injured after a Russian attack in the Black Sea port of Odesa, regional governor Oleh Kiper said.
Energy infrastructure was damaged, he said, leading to “interruptions in the supply of heat, water and electricity”.
In Mykolaiv, southern Ukraine, officials said two people were killed in a Russian drone attack.
Ukraine’s state emergency service said a multi-storey building, cars and a shopping centre were hit.
Two women were killed and six injured, including two children, it added.
In the central Dnipro region, two people died and three were wounded in a strike on a rail depot, while in Lviv, on the border with Poland, a woman was killed in a car.
In the capital, Kyiv, mayor Vitali Klitschko said Russian attacks had caused a fire to erupt on the roof of a residential building, injuring at least two people.
People took refuge in metro stations, while emergency services were pictured removing part of a Russian missile from an apartment block.
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The Ukrainian military said it had destroyed 102 missiles and 42 drones launched by Russia.
Hypersonic missiles were among the 120 fired at Ukrainian territory, it said.
Air defences were active in “almost all” regions of Ukraine.
Equipment at thermal power stations has been “seriously damaged” during Russian air strikes, Ukraine’s largest private energy provider said. DTEK said its staff were working on repairs.
Russia’s defence ministry confirmed it had attacked energy resources supporting Ukraine’s military-industrial complex, Russian news agencies reported.
Poland scrambled its air force early on Sunday because of the “massive attack by the Russian Federation using cruise missiles, ballistic missiles and unmanned aerial vehicles”.
Mr Zelenskyy sent his condolences to anyone affected by the latest Russian attacks.
He said “all necessary forces” were involved in restoring power and facilities.
On Tuesday, it will be 1,000 days since Russia launched what it calls its “special military operation”.
Joe Biden has authorised Ukraine to begin firing US-supplied rockets deep into Russia – as Sir Keir Starmer prepares to push for “further support” for Kyiv at the G20 summit.
Mr Biden’s policy shift means Kyiv will now be able to use Army Tactical Missile Systems (ATACMS)for long-range attacks, two American officials have told Sky News’ US partner network NBC News.
Kremlin spokesman Dmitry Peskov said such a move would deepen America’s involvement in the war.
“It is obvious that the outgoing administration in Washington intends to… continue adding fuel to the fire and provoking further escalation of tensions around this conflict,” Peskov said.
The development was also condemned by Biden officials as a possible expansion of the war.
A Russian politician and the son of President-elect Donald Trumphave both likened the move to risking a third world war.
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Maria Butina told the Reuters news agency: “These guys, Biden’s administration, is trying to escalate the situation to the maximum while they still have power and are still in office.
“I have a great hope that Trump will overcome this decision if this has been made because they are seriously risking the start of World War Three which is not in anybody’s interest.”
Meanwhile, Donald Trump Jr wrote on X: “The Military Industrial Complex seems to want to make sure they get World War 3 going before my father has a chance to create peace and save lives… Imbeciles!”
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The outgoing Biden administration’s move comes as there are concerns about the level of support the Trump White House may be willing to give Ukraine.
Mr Trump has previously vowed to limit US support for Ukraine and end its war with Russia.
In an evening address after Kyiv was given permission to fire deep into Russia, Ukrainian President Volodymyr Zelenskyy said: “Today, there’s a lot of talk in the media about us receiving permission for respective actions. But strikes are not carried out with words. Such things are not announced. Missiles will speak for themselves. They certainly will.”
Back in September, Russian President Vladimir Putin said if the US were to lift the ban on long-range missile use it would be seen as NATO’s “direct participation” in the war.
He added: “This, of course, will significantly change the very essence, the very nature of the conflict.”
Meanwhile, the UK prime minister has said he has “no plans” to speak with the Russian president as world leaders gather for the G20 summit in Rio de Janeiro.
Mr Putin will not be attending the two-day summit which starts on Monday after saying in October that his presence would “disrupt the normal work of this forum”. Russia’s foreign minister Sergei Lavrov will be attending instead.
It will take place days after German Chancellor Olaf Scholz spoke to Mr Putinon what was the Russian leader’s first publicly announced conversation with the sitting head of a major Western power in nearly two years.
Asked if he had any plans to make a similar call, Sir Keir said: “It’s a matter for Chancellor Scholz who he speaks to. I have no plans to speak to Putin.”
Speaking to reporters while on his way to the summit, he added: “We are coming up to the 1,000th day of this conflict on Tuesday.
“That’s 1,000 days of Russian aggression, 1,000 days of huge impact and sacrifice in relation to the Ukrainian people and recently we’ve seen the addition of North Korean troops working with Russians which does have serious implications.
“I think on one hand it shows the desperation of Russia, but it’s got serious implications for European security […] and for Indo-Pacific security and that’s why I think we need to double down on shoring up our support for Ukraine and that’s top of my agenda for the G20.
“There’s got to be full support as long as it takes and that certainly is top of my agenda, shoring up that further support for Ukraine.”
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2:01
One of Russia’s ‘largest air attacks’
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The latest developments come after Russia launched a large-scale attack on Ukraine on Sunday, with Mr Zelenskyy claiming Moscow had launched a total of 120 missiles and 90 drones.
Two major strikes, which left a total of 18 people dead, hit a residential building in the northeastern city of Sumy as well as energy infrastructure across Ukraine, prompting emergency power cuts.
Hours later, Moscow mayor Sergei Sobyanin said Russia’s air defence units had destroyed a drone heading towards the city.
Joe Biden’s belated decision to allow Ukraine to use US-supplied, long-range missiles inside Russia will be cheered by Kyiv and will almost certainly prompt the UK to follow suit.
But the stunning shift in US policy – just weeks before Donald Trump takes over as US president – will also trigger fury and fresh threats from Moscow at a time of increasing uncertainty about the future course of its war.
President Vladimir Putin has warned the West they would be playing with fire if they allowed Ukrainian forces to launch Western-supplied cruise and ballistic missiles at Russia, saying it could even trigger a global conflict.
British and US officials, though, have repeatedly advised their respective capitals not to be intimidated by Moscow’s sabre rattling.
Yet there has been hesitancy, particularly in Washington, over the unleashing of US Army Tactical Missile System (ATACMS) ballistic missiles beyond the borders of Ukraine.
However, it seems that a move by North Korea to send thousands of its troops to fight with Russia has changed US calculations.
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The New York Times, which was among the US media organisations to break news of the Biden administration’s decision on long-range missiles, reported that the first time the American weapons will be used inside Russia will likely be against Russian and North Korean troops battling a Ukrainian incursion in the Russian region of Kursk.
While a significant step up in support for Ukraine, the ability to use American long-range missiles inside Russia is not a war-winning development.
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But it does expand Kyiv’s capacity to hit important military targets deliberately positioned by Russian commanders far back from the frontline. This includes stockpiles of missiles, drones and other ammunition used to strike Ukraine.
Just as important as the military impact, though, is the political signal that the US decision sends to the Kremlin about Washington’s willingness to defy Russian warnings about dire consequences should Mr Biden dare to grant Ukraine the permission it’s so long been seeking.
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0:51
‘The missiles will speak for themselves’
The dramatic move by the US comes after months of lobbying by Ukraine’s leader, Volodymyr Zelenskyy.
A key thing to watch now will be how Mr Putin reacts the first time an American missile kills Russian soldiers on Russian soil.
Moscow does not want a direct war with the United States and NATO – nuclear-armed forces with far greater combined firepower – but the Kremlin could well ramp up an already heightened campaign of sabotage and other forms of hybrid warfare across Europe.
Another important reaction to track will be how Mr Trump responds to Mr Biden’s move and whether he continues to allow Ukraine this permission once he takes over as the US commander-in-chief.
The president-elect has vowed to end Russia’s war in Ukraine quickly but he has not said how. Yet he has voiced fierce opposition to the continued gifting of vast quantities of American weapons to the Ukrainian military.
It is a reason perhaps for Ukraine to make use of its new freedoms with US missiles as quickly as possible.
An acclaimed Russian ballet dancer has died aged 39 after reportedly falling off a balcony.
Vladimir Shklyarov, one of the world’s top male ballet stars, died on Saturday night, according to the Mariinsky Theatre, where he was a principal dancer.
The St Petersburg theatre said: “It is with profound sadness that the Mariinsky Theatre announces the untimely passing of principal dancer Vladimir Shklyarov.
“Shklyarov, a beloved artist and audience favourite, died tragically on 16 November.
“His loss is deeply felt by the entire Mariinsky family and the wider ballet world.”
The Mariinsky Theatre told Sky News Shklyarov had a back injury at the time, and was due to have “complicated spinal surgery” on Monday 18 November. He was “taking serious pain medication”.
A spokesperson for the theatre was reported in Russian media at the weekend as saying he had fallen from the fifth floor of a building.
Dancers have been paying tribute to Shklyarov, who was married to fellow company dancer Maria Shklyarov, with whom he had two children.
Former ballerina Irina Bartnovskaya said Shklyarov had been at home, on pain relief, preparing for foot surgery at the time of his death.
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In a post on Telegram, she continued: “He went out onto the balcony to get some air and smoke, lost his balance (a very narrow balcony) and fell down (from the 5th floor).
Diana Vishneva, a ballerina at the Mariinsky Theatre, was also among those paying tribute.
She said: “This tragedy brings only tears and sadness.”
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