Just two years after God's headache was claimed for the first time at Soldier Field in Chicago, Joe Schmidt's side defended a defensive master class to keep the world champions who reign well.
This is the first time that the Green of God was kept in a game against the North Hemisphere side since 1995.
"On top of the world," said Sunday Telegraph with a picture of Irish players celebrating the Stockdale rampaging bid, while the Independent Independent called the team as the "most popular men ever worn".
The Irish Irish Sun nominated the group as "History Boys", abolishing the incredible team decision, while the Sunday Independent sports page celebrates "Green Green".
The victory was provoking a break of praise from New Zealand media and talks about the first victory of Ireland in the World Cup in Japan next year.
"Ireland can now claim that this is the best team in the world after producing a stunning performance that was brave, creatively and in good faith," said Gregor Paul of the NZ Herald.
"They deserve the winning and with it, they deserve to be seen as the best world rugby team, even if the sites do not agree".
Ireland's president Michael D. Higgins wrote to the Irish Football Rugby Union and Captain Rory Best, thanks to the players and coaches "for a night that will live far in memory of everyone who is # 39; n love Irish sport ".
Minister for Transport, Tourism and Sport Shane Ross also praised the team for winning a "magnificent victory".
First Minister Leo Varadkar had moved his television address at the Fine Gael's annual conference from a normal launch with nightclubs until 1730 locally on Saturday so he did not confront with the game.
"What's a game! We may be a small country but sometimes we can be the best in the world," he wrote on Twitter.
(Report by Hardik Vyas in Bengaluru; Editing by Toby Davis)