Addressing his party colleagues in Cork, the Fine Gael leader said it would be the best time for the country to go to the polls.
Leo Varadkar had looked for an agreed election date before around the time of the confidence and supply re-negotiations
Now he says May 2020 would be the best time to go to the country - after the next Dáil session finishes.
Varadkar told Fine Gael TDs and Senators he believes it would allow a government to be in place by summer next year.
He also used the speech to attack Fianna Fáil and Sinn Féin.
On the Green Party he praised some of their policies and even said he may steal some of them - but also warned they could be a trojan horse that allows Fianna Fáil back into government.