Rush rockets have hit An opera house, concert hall, and government offices in Freedom Square at least 10 people were killed.
At least 10 people were killed and 35 more were injured, local authorities have said.
The attack came as Ukraine’s president said Russia was committing war crimes.
“This is the price of freedom,” President Volodymyr Zelensky said.
“This is terror against Ukraine. There were no military targets in the square – nor are they in those residential districts of Kharkiv which come under rocket artillery fire,” he added.
Video footage showed a missile hitting the local government building and exploding, causing a massive fireball and blowing out windows of surrounding buildings. Freedom Square is the second-largest city-center square in Europe and a landmark of the city.
Kharkiv has been bombed heavily for days now, and 16 people were killed before Tuesday’s attack Mr. Zelensky said. His government accuses Russia of trying to lay siege to Kharkiv and other cities, including the capital Kyiv, where a huge Russian armored convoy is approaching.
Ukraine’s Foreign Minister Dmytro Kuleba said the world must do more to punish Russia for the “barbaric” attack on Freedom Square and residential neighborhoods, accusing the Russian President Vladimir Putin of committing “more war crimes out of fury, murdering innocent civilians”.
The sixth day of Russia’s invasion of Ukraine has seen continued attacks on several fronts
But the Russian advance has reportedly been slowed by Ukrainian resistance.
People in the southern city of Kherson say it is now surrounded, and the mayor of Mariupol, a port city also in the south of Ukraine says it endured relentless shelling overnight.
Meanwhile, new satellite images showed a 40-mile (64km) long Russian military convoy snaking its way toward the capital, Kyiv, where air raid sirens were again ringing out on Tuesday morning.
The convoy – which seems to have slowed down in the past 24 hours – includes armored vehicles, tanks, artillery, and logistical vehicles, and is said to be less than 18 miles (30km) from Kyiv.
Nato chief Jens Stoltenberg on Tuesday accused Russian President Vladimir Putin of “shattering the peace in Europe”, while UK Prime Minister Boris Johnson accused Russia of “barbaric and indiscriminate practices… to send missiles into tower blocks to kill children.”
Speaking to the UN Human Rights Council, US Secretary of State Antony Blinken said Russian rights violations were “mounting by the hour” and said Moscow should be stripped of its membership of the council.
Bocs news Sources: BBC