Local sources say the blasts took place near the Belbek military airport north of Sevastopol. The governor of Sevastopol said Russian anti-aircraft forces had downed a Ukrainian drone.
Writing on Telegram, Mikhail Razvozhayev said no damage had been done.
The explosions are the latest in a series of blasts at military bases and ammunition depots in the past week in the peninsula that was annexed by Vladimir Putin in 2014.
Earlier this week, Serhiy Bratchuk, the spokesman for Odesa region’s military administration, issued a warning to Moscow.
Mr Bratchuk said: “These fireworks mean that Crimea is coming back to Ukraine.”
It comes as Putin’s nearly six-month war, which he describes as a “special military operation”, grinds on.
In other developments, Ukrainian President Volodymyr Zelensky met UN Secretary-General Antonio Guterres on Thursday amid fears over shelling at Europe’s largest nuclear power station.
Russia captured the Zaporizhzhia nuclear power plant, which is still operated by Ukrainian engineers, soon after launching its assault on February 24.
Recent days have seen several incidents of shelling at the facility, which both sides blame on each other.
The power station sits on the Russian-controlled south bank of a huge reservoir, while Ukrainian forces hold the north bank.
Russia’s foreign ministry rejected a proposal by Mr Guterres to demilitarise the area around the plant insisting it would make it “more vulnerable”.
Turkey’s President Tayyip Erdogan also joined the talks in Lviv with Mr Zelensky and Mr Guterres and said they had discussed possible ways of ending the war.
The Russian leader initially set his sights on capital city Kyiv but was forced to pull back in the face of fierce Ukrainian resistance.
Moscow has since turned its focus to the east and south of the country.
Earlier on Thursday, Ukraine said fighting with Russia is “deadlocked”.
Ukrainian presidential adviser Oleksiy Arestovych said: “Russian forces have achieved only minimal advances, and in some cases we have advanced, since last month.
“What we are seeing is a ‘strategic deadlock’.”