Authorities in numerous regions - including Kharkiv, Dnipropetrovsk and Mykolaiv - reported on Tuesday that their air defences were active, but missiles still hit in many places.
In the capital Kiev, Mayor Vitali Klitschko also reported new explosions.
In Mykolaiv, a residential building was hit by rocket fire during the night, and emergency forces recovered the body of a man from the rubble, according to Governor Vitalii Kim.
Ukrainian President Volodymyr Zelensky said the Russians had also shelled the flower market and Chestnut Park in Mykolaiv, saying they were "absolutely peaceful places".
In the city of Kharkiv, Mayor Ihor Terekhov also reported rocket fire. "There were two series of explosions in the city within five minutes," he said. According to initial information, an industrial plant was hit. The metro stopped train services and resumed operations as a shelter.
In the Dnipropetrovsk region, explosions were reported in Krivy Ry and in the regional capital Dnipro. In Zhytomyr, missiles hit energy infrastructure, the authorities said. The Russian military had declared that it was targeting energy facilities.
Russian military bloggers close to the Kremlin also reported shelling in numerous regions - and published a large number of photos and videos on social networks showing clouds of smoke over cities, supposedly documenting the new attacks.
The government in Kiev is demanding more air defence systems from the West to counter Russian attacks with drones and missiles.
Russia recently intensified its bombardment in the war against Ukraine, which has been ongoing for almost eight months.
25°C