File photo: An MQ-9 Reaper flies a training mission over the Nevada Test and Training Range in July 2019. Photo courtesy US Air Force
"As the Russian fighter approached, the foreign reconnaissance drone performed a U-turn away from the border," the Russian defence ministry said.
The ministry said the drone belonged to the US Air Force.
"The Russian aircraft returned safely to its airbase, there was no violation of the border," it added.
Incidents involving Russian and Western aircraft have multiplied over the Black Sea and Baltic Sea in recent months, as Moscow pursues its offensive in Ukraine.
Tensions grew between Moscow and Washington when another US Reaper drone crashed after colliding with a Russian fighter jet over the Black Sea in mid-March.
Moscow said in May it had intercepted four US strategic bombers above the Baltic Sea in two separate incidents in the space of one week.
Russia also said it has intercepted French, German, Polish and British aircraft.