Atovulloyev edits "Chagory Rus," a monthly publication about Tajikistan and its relations with Russia.
Annabelle Arki from the French media watchdog says the group believes the death threats are "very serious and should be taken very seriously" because many journalists have been killed "because of their articles."
Arki added that the last two issues of Atovulloyev's publication have been very critical of ties between the Tajik and Russian authorities.
Atovulloyev was forced to leave Tajikistan in 2001 after being accused of insulting the president and "inciting national, racial, and religious hatred."