The attack comes as the second anniversary of the Russian invasion of Ukraine nears.
Ukrainian air defences shot down 23 out of 31 Russian-launched drones over five regions, the air force said.
"Another difficult night for Ukrainians. The enemy launched three dozen Shaheds and six missiles at peaceful settlements of the country," said Oleksiy Kuleba, deputy head of President Volodymyr Zelenskiy's office.
The attacks killed four people and wounded nine others, Kuleba said.
Three people were killed in the Black Sea port of Odesa when a Russian drone hit a commercial area, causing a blaze, regional governor Oleh Kiper said.
In an attack on the Donetsk region near the front lines, one civilian was killed in the town of Myrnohrad, and 21 houses, a school, and a multi-story residential building were damaged, Kuleba said.
In a post on Telegram, the military's Southern Forces said they had intercepted nine drones in the Odesa region.
The military said missiles were also used in the attacks, but failed to hit any targets.
Pictures posted by the military showed heavy damage to buildings in the area and rescue teams picking their way through debris.
As the war enters its third year, Russia has intensified its bombardments of Ukrainian ports, including Odesa, and grain infrastructure in recent months after Moscow pulled out of the Black Sea Grain Initiative, a wartime deal that enabled Ukraine's exports to reach many countries facing the threat of hunger.
Kyiv has since set up an alternative corridor to ship grain and other products via its Black Sea ports near Odesa.
In the city of Dnipro in the southeast, a Russian drone hit an apartment building, injuring at least eight people and damaging the two top floors. Serhiy Lysak, governor of the Dnipropetrovsk region, wrote on Telegram that the search ran through the night and other residents might still be under the rubble.
Meanwhile Ukraine's Deputy Prime Minister Oleksandr Kubrakov says it will take up to 10 years to rebuild his country if the war were to end now.
"I think the most urgent damage could be repaired in two or three years. But overall it would take five to 10 years," said the minister responsible for reconstruction in an interview. The prerequisite, however, is that the financial resources are available.
Saturday marks the second anniversary of the Russian invasion of Ukraine. Kubrakov put the war damage caused during this period at $US541 billion ($A825 billion)), citing current figures from the World Bank, the European Union and the United Nations.
with Reuters and DPA
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