Russian missile and drone barrages rocked parts of Ukraine overnight, killing 11 people and wounding dozens, Ukrainian authorities reported early Tuesday as emergency services began to assess the damage from the Russian strikes across the country.

In Kyiv, multiple explosions were heard, setting off fires in various areas of the city and leaving at least three people dead.

"Three people have now been confirmed killed in Kyiv," Tymur Tkachenko, head of Kyiv's city military administration, posted on Telegram. Russia carried out Tuesday's attacks using ballistic missiles, according to Tkachenko.

Local media reported residents rushed to shelters clutching bags and blankets as a large plume of smoke emanated from the city centre.

Earlier, the city's mayor, Vitali Klitschko, warned, "Explosions in the city!" Air defence forces are working! Stay in shelters! "Power was knocked out in several districts of the Ukrainian capital," Klitschko said.