The tricolour over government Buildings in Dublin is flying at half mast this morning, as a mark of respect following the death of Queen Elizabeth.
A book of condolences will be opened at the British embassy in Ballsbridge, so people can pay their respects.
The 96-year-old monarch died peacefully yesterday afternoon at Balmoral.
The new King, Charles the Third, will travel to London later and is due to hold his first audience with British Prime Minister Liz Truss.
Taoiseach Micheál Martin says the Queen's visit to Ireland in 2011 was a turning point in Anglo-Irish relations.
"By making that visit, and by the speeches that were made, visiting the Garden of Rememberence, the locations that were visited, all of that cemented the peace and more or less signalled to the Irish people and the British people that we were moving into a different phase, a more mature phase in our relationship."
Sinn Fein leader Mary Lou McDonald has added her condolences on the death of Queen Elizabeth.
Speaking in San Francisco, Deputy McDonald has paid tribute to the long serving Monarch.
"It's the end of an era, Queen Elizabeth the second led a very long and very full life through historical and sometimes extraordinary times."
Speaking to RedFM News, Former Lord Mayor of Cork City and Councillor Michael O'Connell, says he remembers showing the Queen around The English Market on her visit to Cork in 2011.
"Of all the places she went around the country, the English Market was certainly the jewel in the crown.
"It was relaxed, walking around talking to the people. There was no ceremony to it, only for unveiling a plaque at the end.
"You could see it in her demeanour how relaxed she was, and how much she was enjoying the walk around the Market. You could see it in her smile as well, it was fantastic, absolutely fantastic."
Cork fishmonger Pat O'Connell remembers the conversation he had with Queen Elizabeth during her visit to the English Market in 2011.
"One of the fish we had there at that stage was a monkfish, which we call 'the mother in law fish'.
"It was a really big one, with a really big ugly head, and she said 'my gosh, what's that?'
"I said 'well, that's the mother in law fish' and she just lit up. I thought, yeah we're fine here this lady has got a sense of humour."
US President Joe Biden paid tribute to the Queen in Washington DC.
"I just stopped by the British Embassy to sign the book of condolence in her honour.
"I had the opportunity to meet her before she passed, and she was an incredibly gracious and decent woman.
"The thoughts and prays of the American people, are with the people of the United Kingdom and the Commonwealth."
