The head of the Russia-annexed Crimea peninsula said a Ukrainian missile attack killed two people near Simferopol, the peninsula's main administrative centre, Reuters reports.
Sergei Aksyonov, writing on Telegram, also said a Ukrainian missile had struck an empty building near Alushta on the peninsula's Black Sea coast.
Separately, the TASS news agency cited Russia's defence ministry as saying that air defences had intercepted three ATACMS missiles over Crimea, and that the military had destroyed three Ukrainian sea drones headed toward the peninsula.
Ukraine has not issued an official comment.
Ukrainian military bloggers and unofficial media reported a number of targets had been hit throughout the peninsula.
Krymsky Veter, an online news outlet dealing with Crimea, posted a video of what it described as an explosion and fire in Alushta, and said ambulances were heading to the scene.
News outlet RBK-Ukraine reported, without citing a source, that explosions had occurred in three other centres and said targets could have included headquarters for the coastguard or intelligence centres.
Russian bloggers on the peninsula said they believed that not all incoming missiles had been intercepted.