Gardaí have investigated separate incidents of alleged harassment outside Mr Harris’s family home, as well as a bomb threat against the Co Wicklow property.
It has raised questions over whether Mr Harris should move to a location with heightened security.
There is no official residence for holders of the office but, on occasion, Steward’s Lodge on the Farmleigh estate has been used by taoisigh for various reasons. However, Mr Harris has said he has no intention of moving there.
The Taoiseach’s comments come as he appears as the first guest on the second season of former RTÉ star Tubridy’s podcast, which returns tomorrow.
Tubridy was at the centre of a scandal that rocked RTÉ for a year, after it was revealed that the national broadcaster had underdeclared payments to the former Late Late Show host.
The crisis later widened to other governance matters and the controversy around financial mismanagement at the station was seen as a driver behind a fall in TV licence receipts.
Tubridy now hosts a daily show on Virgin Radio in London that is also broadcast here on Q102.
Mr Harris told the podcast host that the incidents at his home were a “form of intimidation and harassment”.
“I think it’s done to unsettle and unnerve people, and I think it’s done by people to let you know that they know where you live.”
Asked by Tubridy about the possibility for an official taoiseach’s residence, Mr Harris said: “This has been put to me on occasion. The challenge for me – apart from loving Greystones – is that my kids are of an age where one has just started in the local school, and it would be very disruptive.
“I don’t know where the future brings us in relation to this, but I can see it happening in the future.”
Mr Harris said he did not believe people would be unsupportive of such a measure, but added: “It’s not something that I’m intending to do.”
On The Bookshelf With Ryan Tubridy, Mr Harris will reveal how he “gorged on books” as a child and raised money for MS Ireland by getting sponsored for the Readathon.
The episode is also expected to feature the conflict in Gaza and a gift he received from Ukrainian president Volodymyr Zelensky.
The premise of Tubridy’s podcast involves asking guests to bring in three books: a cherished childhood book, a book that brought them to tears, and a book which changed their life.
Mr Harris identified Patrick Radden Keefe’s Say Nothing as the book that made him emotional.
“This book did make me cry within the first few pages, because it is a book that tells the story of the Troubles, particularly the Jean McConville abduction.”
Ms McConville was a recently widowed mother-of-10 when she was abducted in 1972.
“She was 38 years of age. She was abducted, murdered and then disappeared. Body buried. Disappeared, taken from her kids by the IRA and killed in the Troubles.”
The Bookshelf With Ryan Tubridy returns tomorrow.