Andrii Sybiha said the strikes left thousands of homes without heat as temperatures in the Ukrainian capital fell to minus 15 degrees Celsius.
"Thousands of houses are without heating in Kyiv at −15°C outside, following Russia’s mass strike overnight,” Sybiha wrote on X.
"War criminal Putin continues to wage a genocidal war against women, children and the elderly," he added.
Sybiha said Russian attacks hit Kyiv, Vinnytsia, Dnipro, Odesa, Zaporizhzhia, Poltava, Sumy and other regions, causing civilian casualties and damage to energy infrastructure.
“The resilience of the Ukrainian people cannot be an excuse for this war to continue,” he said. “It must end as soon as possible.”
'Peace can only be achieved through strength'
Calling the strikes "a wake-up call to world leaders gathering in Davos," Sybiha said urgent international support was needed, including additional energy assistance, air defence systems and interceptors, as well as tougher sanctions on Moscow.
“There will be no peace in Europe without a lasting peace for Ukraine,” he said. “Peace can only be achieved through strength.”
The world must 'not remain silent': Zelensky
Ukrainian President Volodymyr Zelensky said emergency services were working to address the aftermath of the attacks, which he said involved a large number of ballistic and cruise missiles, as well as more than 300 attack drones.
“Our air defense forces intercepted a significant number of targets,” Zelensky wrote on X, adding that recently delivered missiles had helped repel the assault.
“Every support package matters,” he said. “Missiles for Patriot, NASAMS and other air defense systems are critically needed ... Air defense missiles are real protection for human life.”
Zelensky said Russia has increasingly used ballistic missiles rather than kamikaze drones in recent attacks and estimated that repelling Tuesday’s strike alone cost Ukraine about EUR 80 million.
He also said Ukraine would need to import more than 4 billion cubic metres of natural gas to get through the winter.
“The most difficult situation is in Kyiv and the Kyiv region, where many residential buildings are without heating,” Zelensky said.
“It is important that the world does not remain silent about this," he added.