Ukraine says it has hit two landing ships, a communications centre and other infrastructure used by Russia's Black Sea fleet off annexed Crimea.
An announcement by the Ukrainian general staff said the Yamal and Azov ships had been destroyed.
The Russian-installed governor of the port of Sevastopol said 10 Ukrainian missiles had been shot down.
Russia also launched a missile and drone attack on the capital, Kyiv, and the region of Lviv early on Sunday.
In an announcement, Mikhail Razvozhayev, the Russian-appointed mayor of Sevastopol, said damage had been caused to residential buildings and transport infrastructure as a result of the "massive" attack.