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(LONDON) -- Russian missiles struck the Ukrainian capital of Kyiv early on Monday, injuring at least two people, the city’s administration said.

Moscow fired cruise and ballistic missiles at the city beginning about 3 a.m., officials said in a message posted on the Telegram messaging app.

At least two people were injured, including one who was hospitalized, according to Serhiy Popko, head of the city's administration.

About 34 cruise and ballistic missiles were fired, along with about 23 Shahed drones, the Centre for Strategic Communication and Information Security of Ukraine said.

Air defenses in Ukraine destroyed at least nine ballistic and 13 cruise missiles, the government group said. Twenty of the drones were destroyed and three "did not reach their targets," it added.

A Russian missile struck one of the city's Islamic Cultural Centers, located in a mosque, Ukrainian President Volodymyr Zelenskyy said, adding that "Russia has no regard for spiritual or human values, and no respect for any religion or faith."

"The world must see that Russia's war is not only against Ukraine, but also against humanity, dignity, and human life," Zelenskyy said on social media. "Such barbaric acts have no place in our modern world. They must be strongly condemned and met with firm action by the international community."

The early morning attack arrived a week after Russia launched a countrywide assault on Ukraine, strikes that were among the largest such aerial attacks since the war began in 2022, according to Zelenskyy.

Russia last Monday fired at least 127 missiles and 109 drones in an attack that lasted over eight hours.

The strikes on Monday arrived on the first day of a new school year for children throughout Ukraine, "despite the war and all the challenges," Zelenskyy said.

"Ukraine is doing everything possible to provide children with maximum opportunities," he said on social media. "All of our schools and higher education institutions that are operating today are a testament to our people's resilience and Ukraine’s strength."

Monday's attack on Kyiv came a day after Russia hammered Kharkiv, the second-largest city in Ukraine, with ballistic missiles and glide bombs, injuring dozens of people.

At least 47 people, including seven children, were injured in the Kharkiv strikes, according to Ukrainian emergency services officials. Three people were rescued after being buried by rubble, officials said.

The Russian strikes on Kharkiv followed a wave of drone strikes launched by Ukraine inside Russia over the weekend that damaged an oil refinery near Moscow.

Zelenskyy said the purpose of the drone strikes inside Russia is to bring home the war to Russia.

"The terrorist state must feel what war is. We are working to ensure that as many Russian military facilities, logistics hubs, and critical components of their war economy as possible fall within the reach of our weapons," Zelenskyy said in a Sunday evening address. “With our drones and missiles, we can accomplish part of the missions. But true peace -- a real end to this war -- is a complex task. To force Russia into peace, to move them from deceitful rhetoric about negotiations to taking steps to end the war, to clear our land of occupation and occupiers, we need effective tools."

ABC News' Patrick Reevell contributed to this report.

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