The National Union of Journalists has called on the PSNI to take action against those who threaten members of the media.
It follows a renewed threat against the Sunday World journalist Patricia Devlin.
The reporter's name was sprayed onto walls in at least two locations in East Belfast, accompanied by the image of a crosshair of a gun.
The NUJ says repeated death threats targeting journalists alludes to a dangerously hostile climate in Northern Ireland for the media.
The union warns it also implies that previous action taken by the police has been insufficient in deterring the perpetrators.
NUJ Irish secretary Seamus Dooley said: "This menacing and cowardly graffiti is the behaviour of thugs who are trying to target and intimidate a specific journalist, but they are also trying to send a warning message to other media workers.
"The authorities must now identify and prosecute the perpetrators to the full extent of the law.
"This latest threat is an attempt to stop journalists from reporting on current turbulent events in Northern Ireland. It is also part of a wider trend of increasing threats since the first lockdown.
"Those behind threats need to feel the full force of the law, this is the most effective way to defend and protect media freedom and public interest journalism in Northern Ireland."
Mr Dooley also called on social media organisations to ensure their platforms are not abused to target journalists.
Addressing the threats on Twitter on Friday, Ms Devlin said: "Thank you to the many people in east Belfast who made me aware of this sinister graffiti today.
"I think it's clear to everyone who and what is behind it, and why. I will continue to report on the thugs and bullies terrorising their own communities."
Justice Minister Naomi Long said: "This is a chilling sight. In Northern Ireland in 2021, no reporter should be the target of such a sinister threat simply for doing their job. Intimidation of journalists - of anyone - must end."
The threats come just a week after two BBC journalists were targeted after being involved in the making of a Panorama documentary about Dublin crime boss Daniel Kinahan.