Elsewhere in Ukraine, 17 people were injured in a strike on the city of Zaporizhzhia, when multiple buildings including homes and a nursery were hit, regional administration head Ivan Fedorov said.
Outside the city, a woman was killed and a man was missing after a Russian glide bomb hit the Novopavlivka village, Fedorov added.
Another person was killed in Safonivka, in the Sumy region, and another in the Chernihiv region, Zelensky said.
Russia also attacked Kryvyi Rih, Zelensky's hometown in central Ukraine, where three infrastructure facilities were hit. Air raid warnings were activated overnight for all of the country's regions.
In a statement, the Russian defence ministry said its air defence forces shot down or intercepted 69 Ukrainian drones in a number of Russian regions.
Ukrainian drones carried out another strike against the key Russian oil pipeline Druzhba, the Ukrainian unmanned aerial forces commander Robert Brovdi said. He said a pumping station in Russia's Bryansk region was hit.
Earlier this week, Putin rejected Western proposals for a "reassurance force" in Ukraine the day after any ceasefire comes into place, following a Paris summit aimed at finalising plans for security guarantees.
British Prime Minister Keir Starmer condemned Sunday's attack in Ukraine, saying they showed that "Putin believes he can act with impunity" and "is not serious about peace."
French President Emmanuel Macron said 26 of Ukraine's allies had formally committed to deploying troops "by land, sea or air" to help provide security the moment fighting was brought to a halt. He gave no further details.
Putin sought to quash the allies' initiative, warning that any troops deployed to Ukraine would be "legitimate targets".
Russia launched a full-scale invasion of Ukraine in February 2022, and Moscow currently controls about 20% of Ukrainian territory - including the southern Crimea peninsula illegally annexed in 2014.
Additional reporting by Vitaliy Shevchenko