The northeastern city, 30 kilometres (18 miles) from the Russian border,has seen increased deadly attacks in recent months, more than two years intoMoscow's invasion.
An overnight attack killed six people; while another person died in aseparate strike on Saturday, authorities said.
"Six killed and 11 wounded as a result of the enemy's night-time missileattack on Kharkiv," the local prosecutor's office said on social media.Authorities said the strike hit just after midnight.
"At about 12:20 am, the Russian armed forces launched missile attacks onthe residential Shevchenkivskyi district of Kharkiv," the prosecutor's officesaid.
"High-rise buildings, administrative buildings, dormitories, akindergarten, shops, cafes and cars were damaged."
Kharkiv police said Russian forces fired two S-300 missiles at the city andthen attacked with drones during rescue operations.
"At night, the Russians attacked Kharkiv with S-300. On a city that issleeping," Volodymyr Tymoshko of the local police force said on social media.He said Russia then used "the practice of repeated shelling".
"When all relevant services were working at the site of the missile hit,enemy drones arrived," he said, adding that air defence downed them.
Another strike on the Shevchenkivskyi district on Saturday caused damagedto civilian infrastructure and set a car on fire.
"According to preliminary data, one person died, another was wounded," OlegSinegubov, head of the Kharkiv regional state administration, said.
- 'Russian terror' -
Local officials earlier said that the six dead were killed by the drones.Kharkiv mayor Igor Terekhov said Russia attacked "while Kharkiv residentswere sleeping peacefully".
He said "nine residential buildings" were damaged as well as "twokindergartens, two schools" and "several dozen shops".
President Volodymyr Zelensky condemned the "Russian terror against Kharkiv"and called for increased Western air defence deliveries to protect thenortheastern region.
The Russian army said it had destroyed two anti-aircraft systems inKharkiv.
Ukrainian police said there was a separate attack on Mala Danylivka, avillage on Kharkiv's northwest outskirts, which did not result in casualties.Photos released by police on Telegram showed several fires in civilianareas, including near a high-rise apartment building.
The attacks came as Ukraine's airforce reported multiple groups of Russiandrones across the country.
In the southern Kherson region, authorities on Saturday said they recoveredthe bodies of a couple in their 50s and 60s killed by a Russian missile attacka day earlier.
"Yesterday, the occupiers attacked the village of Zmiivka in Beryslavdistrict with guided missiles.
"A building was damaged as a result of the hit," said Oleksandr Prokudin,the head of the Kherson region.
"Under the rubble, rescuers found the bodies of two victims -- a man bornin 1957 and a woman born in 1965," he added.
The attacks on Kharkiv came a day after a Russian strike on the southerncity of Zaporizhzhia killed four people and wounded more than 20.Ukraine's interior ministry on Saturday updated the wounded toll in theZaporizhzhia strike to 23, which included two children, reports BSS.