The Policing Authority is to begin looking for a new Garda Commissioner today.
Noirín O'Sullivan unexpectedly announced her retirement yesterday - saying her job had become an unending cycle of public hearings.
The first ever female lead of the force had been facing calls to step down after a number of controversies in the force, including the breath test and whistlenlower scandals.
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Opposition parties have welcomed the news of Mrs O'Sullivan's retirement.
Labour Party Leader Brendan Howlin suggested new leadership is needed "to bring about the reform of An Garda Síochana" and restore confidence in the force.
Sinn Féin Deputy Leader Mary Lou McDonald says it was clear that the Commissioner had to go, saying she had "finally done the right thing, albeit very belatedly".
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At least three people have died and around 3 million properties are without power as Hurricane Irma batters Florida.
There have been three-metre high storm surges in the Florida Keys, and streets are flooded in Miami.
Sustained winds of more than 200km/h were reported when the storm first made landfall in the Florida Keys on Sunday.
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A gunman killed seven people at a house in Dallas before being shot dead by police, US authorities say.
The attacker was killed by the first responding officer at the scene after an exchange of gunfire, police spokesman David Tilley said.
The officer was uninjured.
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Today marks the 16th anniversary of the 9/11 terror attacks.
Nearly 3,000 people died in the US when hijackers crashed four planes into the Twin Towers, the Pentagon and a field in Pennsylvania.
A memorial service will be held at ground zero in New York later.
