Ukrainian officials said one person was killed and four injured after missiles struck a district near Kyiv's center, reported DW, quoting news agencies Reuters, AFP, AP and dpa.
Kyiv Mayor Vitali Klitschko said on Telegram that multiple explosions had taken place in the central Shevchenkivsky district at around 6:30 a.m. local time (0330 UTC) on Sunday.
The district is home to universities, restaurants, and galleries.
"Ambulance crews and rescuers dispatched to the scene. Residents are being rescued and evacuated from two buildings," he said.
At least five people were wounded when a missile hit a building, the head of Ukraine's police force Ihor Klymenko said in a television interview.
Klitschko said the Russian missile strike was intended to "intimidate Ukrainians," ahead of the NATO summit in Madrid from June 28-30.
Klitschko later said two people were hospitalized and rescue efforts were ongoing as people were trapped under the rubble. He said a seven-year-old girl had been rescued from the rubble, and her mother was currently being removed as well.
Emmanuelle Chaze, DW's correspondent in Kyiv, said one person was found dead after the shelling. She tweeted a video of a building in ruins, saying five had been injured.
Anton Herashchenko, an advisor to the Ukrainian interior minister, said a nine-story apartment building was struck, and another rocket hit the grounds of a kindergarten.
The AFP news agency had reported four explosions, adding that a residential complex near the center of the city had been hit, causing a fire and a cloud of grey smoke.
Meanwhile, Russia's Defense Ministry said Russian forces struck three Ukrainian military training centers in northern and western Ukraine.
Strikes were carried out with "high-precision weapons of Russia's aerospace forces and Kalibr missiles," the ministry's statement read.
Russian news agencies said the military centers were located in the northern Chernihiv, the northwestern Zhytomyr and the western Lviv regions of Ukraine.
The center in Lviv was around 19 miles (30 kilometers) from the border with Poland, a NATO member.
NATO leaders are due to gather in Madrid, Spain, for their annual summit on June 28.
Pro-Russian separatists say more civilians have left Sieverodonetsk shelter
Around 250 more people have been evacuated from the Azot chemical factory in Sieverodonetsk after Ukraine relinquished control of the city, pro-Russian separatists said.
Some 200 civilians, including young children, were helped to leave the plant a day earlier, according to Rodion Miroschnikon, the Luhansk separatist representative in Moscow. It was unclear where the evacuees have been moved to.
The Ukrainian military governor of Luhansk had said there were 568 civilians sheltering in the air raid shelters set up in the plant before troops withdrew.
Tass: Ukraine strikes Crimean oil-drilling platform for second time
Ukrainian forces have attacked an oil platform in the Black Sea owned by a Crimean oil and gas company, Tass news agency reported, citing local officials.
It was the second strike on the rig in a week. Last Monday, three people were wounded and seven were reported missing in a Ukrainian strike, officials said.
The oil rig was seized by Russian-backed officials in 2014 from Ukraine's national gas operator Naftogaz when Moscow annexed the Crimean peninsula.
The platform's current operator Chernomorneftegaz is under US and EU sanctions.
Moscow denies hitting civilian targets in Kyiv strike
Russia has denied as "fake" reports that it hit a residential area of Kyiv, insisting that its air strikes had struck a weapons factory.
The Artyom factory "was the target, as military infrastructure" the Russian Defense Ministry said, adding that it had already been targeted in April.
The ministry blamed a Ukrainian air defense missile for the damage to a nearby residential building.
It was not immediately possible to verify the claims.
Moscow ready to negotiate only if Kyiv accepts conditions — Russian upper house speaker
Russian Federation Council speaker Valentina Matvienko said that Russia is ready to negotiate only if Kyiv accepts Moscow's conditions.
The Federation Council is the upper house of Russia's parliament.
"If the West wanted to, it would sit Kyiv down at the negotiating table and force them to reach peace agreements," Matvienko said in an interview with the STV broadcaster.
"These are conditions that are stated for the purpose of a special military operation, and, of course, Russia will not negotiate on any other terms, because it was Ukraine that crossed the red line," she said.
Matvienko added that the West and NATO are "at war with Russia" via the proxy of Ukraine.