The broadcaster said that the Russian Justice Ministry warned its Russian service, known as Radio Svoboda, the Russian-language Current Time television and Idel Realii, a Russian-language website run by the broadcaster's Tatar- Bashkir service, that their operations fall under a Russian law on foreign agents and could be restricted.
The move follows the Kremlin's warning that Moscow could respond if Washington restricts the operations of Russian state-funded RT television network and Sputnik news agency in the US.
The US intelligence agencies allege that RT and Sputnik served as tools for the Kremlin to meddle in the US presidential election. Russia has denied any interference with the vote.
Current Time Director Daisy Sindelar said that "we have no concrete information about any moves being taken against RT in the United States, and have no reason to expect reciprocal action."
Current Time is run by Prague-based RFE/RL with help from Washington-based Voice of America.
"Current Time, Radio Svoboda, and Idel Realii are journalistic organisations. We trust we will be able to continue our work," RFE/RL Vice President and Editor in Chief Nenad Pejic said in a statement.