Sinn Fein leader Gerry Adams says he does take precautions after previous attempts on his life.
The PSNI has informed the Sinn Fein president of another death threat.
Mr Adams says this death threat relates to him and other members of the Sinn Fein leadership.
It was apparently made by someone claiming to speak for the loyalist paramilitary group, the Ulster Freedom Fighters (UFF).
Just been told by PSNI of death threat against me & SF leadership by someone claiming 2 speak 4 UFF.
— Gerry Adams (@GerryAdamsSF) November 29, 2014
The PSNI say they do not discuss the security of any individual - however if they believe someone may need to review their security, they take appropriate steps and inform them immediately.
The PSNI also say they would never ignore information that could put a person at risk.
Mr Adams received what was described as a "credible death threat" last May.
But he told The Sunday Show here on Newstalk that he will not let any such threats stop him from doing his work.