The UDA has denied making threats to a number of Northern Ireland journalists.
A political group with links to the UDA made the statement after two journalists were warned in recent days about threats against them by loyalist paramilitaries.
The reporters, working for the Northern Ireland edition of the Sunday World newspaper, were contacted by police and told of the latest threats.
They came just days after after it was revealed that a journalist working for the Belfast Telegraph had been threatened by a loyalist paramilitary group.
Patrick Corrigan, Amnesty's Northern Ireland programme director, condemned the latest threats and called on the PSNI to "get a grip" on the problem before someone is killed.
The National Union of Journalists (NUJ) said the reporters issued with the latest threats have been threatened on previous occasions.
It added that one of the journalists was contacted in the middle of the night by police and alerted to a threat, while the other has been issued with a shoot to kill threat and is also at risk of entrapment and attack.
Seamus Dooley, NUJ assistant general secretary, said: "Once again NUJ members have received serious threats from loyalist paramilitaries and criminals intent on silencing journalism in Northern Ireland.
"These attempts to intimidate journalists must be condemned in the strongest possible terms," he said.
"We welcome the fact that the journalists concerned have received the full support of their employer. The protection of journalists and the active pursuit of those who threaten the media is essential to a functioning democratic society.
"The PSNI is fully engaged with both journalists and we hope that every effort will be made to ensure the continued safety of our members, their families and their colleagues."
On Saturday, the Ulster Political Research Group (UPRG), which has links to the UDA, posted on Twitter to say: "West Belfast UDA has NOT issued any threats to any journalists.
"PSNI should provide an intelligence assessment as to the source of the apparent threats ....."
