A defense ministry statement said falling debris from the unmanned vehicles lightly damaged two aircraft.
Three Russian servicemen were killed and four injured in the incidents in the Ryazan and Saratov regions.
Long-range strategic bombers are believed to be based at the airfields.
Earlier, large explosions were reported at the Engels airbase in Saratov and the Dyagilevo airbase in Ryazan, but there had been no official comment on their cause.
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