Oleh Kiper, head of the Odesa regional military administration, said the attack struck a location that is "always crowded at this time." Four of the nine hospitalised are in serious condition, he said.
One death was reported initially; two of the injured later died in hospital.
On the same day, a strike on a bus stop in the south of the Odesa region killed a 70-year-old woman and a 69-year-old man, Kiper said.
Overnight and in the morning, Russian attacks cut power to parts of eight Ukrainian regions — Kyiv, Dnipropetrovsk, Odesa, Zhytomyr, Zaporizhzhia, Rivne, Kharkiv and Chernihiv. The national energy company Ukrenergo said the situation was most severe in the first three.
Ukrainian Prime Minister Serhii Koretskyi said Russia attacked six large electricity substations in the Vinnytsia, Kirovohrad, Zhytomyr and Cherkasy regions overnight. A heating enterprise in Kryvyi Rih was also hit, he said.
Oleksandr Vilkul, head of the local defence council in Kryvyi Rih, said the city was partially without electricity and that apartment buildings, schools and kindergartens were damaged.
In Zaporizhzhia, four people were wounded in strikes on an apartment building and an infrastructure facility, said Mykhailo Semykin, head of the local regional military administration. The same number of casualties was reported in the Zhytomyr region, including police officers who "arrived on a call and came under a repeat strike," said Vitalii Bunechko, head of the regional military administration.
Three more people were injured in a fire at an enterprise in Poltava following an attack, said Vitalii Diakivnych, head of the local regional military administration. One person was wounded when a drone struck Kyiv's Holosiivskyi district, said the capital's mayor, Vitalii Klitschko.