At least two people were killed and three others injured in Russian attacks on the Ukrainian-Moldovan border crossing at Starokosatske in southern Ukraine, President Volodymyr Zelensky said on social networks on Wednesday.
Operations have been suspended at the border crossing, he added.
A major fire broke out and facilities, buses, lorries and cars were damaged, the civil defence service said.
The Russian military had previously attacked the Orlivka ferry border crossing on the Danube between Romania and Ukraine several times. It is also in the Odessa region.
Drone attacks on the capital Kiev, a city of 3 million, continued, with authorities reporting six people injured.
A drone hit a 24-storey residential building, among other attacks, they said.
Ukraine has been defending itself against a Russian invasion for more than four and a half years.