North Belfast Sinn Fein candidate John Finucane has met police over offensive messages he received on social media.
The PSNI has confirmed it is investigating the abusive tweets sent to Mr Finucane which are said to "mock and show open support" for the murder of his father, Pat.
A solicitor, Pat Finucane was murdered by loyalist paramilitaries in one of the most infamous cases of the Troubles.
John Finucane, who witnessed his father being shot dead in the family home in February 1989, said one of the tweets expressed regret that he was not killed as well.
He met with senior police on Saturday.
"These tweets were vile, offensive and warranted police attention," he said.
"On Saturday I met with senior police at a station in Belfast.
"They agreed with me that the offending tweets encompassed various criminal acts and pledged to conduct a thorough investigation. I look forward to assisting police in their enquiries and I trust they will use all powers at their disposal.
"It is important to remember that social media use should never under any circumstances cross into criminality, and, when it does so, the appropriate response must follow," he added.
The PSNI said: "Police received a report of a malicious communication on a social media platform and are investigating."
Pat Finucane (38), a solicitor who represented a number of high-profile republicans, was shot dead by loyalists in front of his wife and three children at their north Belfast home.
In 2012, a scathing report by former war crimes lawyer Sir Desmond de Silva QC blamed "agents of the state" for the killing. At the time of the report, then Primer Minister David Cameron's apologised to Finucane's family in the Commons.