Travellers rest scooters, luxury carriages, mini-bus and mini-trains will all be shut down from September.
The company said the decision was due to a “significant number of incidents”.
The company was the first to cancel a trip in Ireland, but it will now not operate in the country again.
The move is a blow to Graco, which has been losing money due to the slump in tourist numbers in Ireland.
The company said it was working to find alternative funding sources to survive in the Irish market.
Graco Ireland managing director Mike O’Hara said that “the majority of our customers are returning home to Ireland and the situation is not sustainable.”
Graco Ireland said the closure of the company’s Dublin office would allow the company to focus on the UK and US markets.
“We are deeply saddened to hear that the Graco company will no longer be able to operate in Ireland and our priority remains to find other funding sources for the continued success of our business,” O’Shea said.
The closure comes just days after it was revealed that Graco was in breach of the Government’s National Security and Counter Terrorism Bill.
It is also being investigated by the Department of Justice.