In the capital, Kyiv, two people were killed and 13 were wounded in a ballistic missile attack in the early hours of Saturday, Kyiv's police said.
A fire broke out in a non-residential building in one location, while debris from intercepted missiles fell in an open area at another site, damaging windows in nearby buildings, Ukraine's State Emergency Service wrote on the message app Telegram.
"Explosions in the capital. The city is under ballistic attack," Mayor Vitali Klitschko wrote on Telegram during the onslaught.
In the Dnipropetrovsk region, two people were killed and seven wounded, acting regional Governor Vladyslav Haivanenko said, adding apartment buildings and private homes were damaged in the strikes.
Ukraine's air force said Russia launched nine missiles and 62 drones, of which four missiles and 50 drones were intercepted.
In Russia, the defence ministry said its air defences shot down 121 Ukrainian drones over Russia overnight.
Ukrainian President Volodymyr Zelenskiy said on Saturday such attacks intensified Ukraine's need for Patriot defence systems.
"It is precisely because of such attacks that we pay special attention to Patriot systems - to be able to protect our cities from this horror. It is critical that partners who possess relevant capability implement what we have discussed in recent days," he wrote in English on X.
"America, Europe and the G7 countries can help ensure that such attacks no longer threaten lives," he said.
Zelenskiy is hoping Ukraine can purchase 25 Patriots from the US to fortify its air defences, particularly in cities.
Zelenskiy on Friday urged the US to expand its sanctions on Russian oil from two companies to the whole sector, and appealed for long-range missiles to hit back at Russia.
Zelenskiy was in London for talks with two dozen European leaders who have pledged military help to shield his country from future Russian aggression if a ceasefire stops the more than three-year war.
The meeting hosted by British Prime Minister Keir Starmer aimed to step up pressure on Russian President Vladimir Putin, adding momentum to recent measures that have included a new round of sanctions from the US and European countries regarding Russia's vital oil and gas export earnings.
The talks also addressed ways of helping protect Ukraine's power grid from Russia's almost daily drone and missile attacks as winter approaches, enhancing Ukrainian air defences, and supplying Kyiv with longer-range missiles that can strike deep inside Russia.
Zelenskiy has urged the US to send Tomahawk missiles, an idea US President Donald Trump has considered.
Kirill Dmitriev, Putin's envoy for investment and economic co-operation, said on Friday he believed Russia, the US and Ukraine were "quite close to a diplomatic solution" to end the three-year war.
Speaking to CNN after arriving in Washington for talks with US officials, Dmitriev said a planned summit in Budapest between Trump and Putin had not been cancelled but would likely occur later.
Trump said on Tuesday his plan for a swift meeting with Putin was on hold because he didn't want it to be a "waste of time".
Russian Foreign Minister Sergey Lavrov made clear in public comments on Tuesday that Russia was opposed to an immediate ceasefire.
Dmitriev, who announced his visit on X and said it was planned following an invitation from the US, met with US envoy Steve Witkoff, a White House official confirmed.