In addition to the three people killed there, Tymoshenko said 19 were rescued from the rubble, four of them wounded. Rescue workers searching for victims scrambled over the debris from which grey smoke billowed.
An Associated Press photographer who was out shooting morning scenes of Kyiv caught one of the drones on camera, its triangle-shaped wing and pointed warhead clearly visible against the blue sky.
"The whole night, and the whole morning, the enemy terrorizes the civilian population," Ukrainian President Volodymyr Zelenskyy said in a social media post. "Kamikaze drones and missiles are attacking all of Ukraine."
"The enemy can attack our cities, but it won't be able to break us," he wrote.
The Iranian-made Shaheds, which Russia has rebranded as Geran-2 drones, pack an explosive charge and can linger over targets before nosediving into them. They can be fired one after the other.
Andrii Yermak, the head of the Ukrainian president's office, confirmed in a social media post that Shahed drones were among those used in the strike.
Iran has previously denied providing Russia with weapons, although its Revolutionary Guard chief has boasted about providing arms to the world's top powers, without elaborating.
The drones have also been repeatedly used by Russia elsewhere in Ukraine in recent weeks to target urban centress and infrastructure, including power stations. They are comparatively cheap, costing in the region of $20,000.
Their use in swarms presents a challenge to Ukrainian air defenses, said Ihnat, the Air Force spokesman. Western nations have promised to bolster Ukrainian air defenses with systems that can shoot down drones but much of that weaponry has yet to arrive and, in some cases, may be months away.
"The challenges are serious because the air defense forces and means are the same as they were at the beginning of the war," Ihnat said. Some air defense weaponry supplied by Western nations can only be used during daylight hours when targets are visible, he added.
After months during which strikes in central Kyiv were rare, early morning strikes last week put Kyiv as well as the rest of the country back on edge.
Russian President Vladimir Putin said those strikes were in retaliation for the bombing of a bridge connecting the Crimean Peninsula with the Russian mainland.
Putin blames Ukraine for masterminding the blast, which suspended traffic over the bridge and curtailed Moscow's ability to supply Russian troops in the occupied regions of southern Ukraine.
The strike on Kyiv comes as fighting has intensified in the eastern regions of Donetsk and Luhansk in recent days, as well as the continued Ukrainian counteroffensive in the south near Kherson and Zaporizhzhia. Zelenskyy said in his Sunday evening address that there was heavy fighting around the cities of Bakhmut and Soledar in the Donetsk region.
The Donetsk and Luhansk regions make up the industrial east known as the Donbas, and were two of four regions annexed by Russia in September in defiance of international law.
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On Sunday, the Russian-backed regime in the Donetsk region said Ukraine had shelled its central administrative building in a direct hit. No casualties were reported.
-Associated Press journalist Inna Varenytsia contributed to this story.