Ireland defeated England on St Patrick's Day to win only the third Grand Slam in their history.
The Irish scored a comfortable 24-15 against the Brits to secure the trophy.
Joe Schmidt's men opened up a 21-5 lead despite having Peter O'Mahony in the sin bin.
A brace from Elliot Daly and Jonny May's try with the clock in the red at the end of the game brought only faint consolation for the home side.
Meanwhile, Wales beat France 14 - 13 at Cardiff with man of the match Alun Wyn Jones and Scotland beat Italy 29 - 27 in Rome.
It means England are fifth and Italy are in sixth place in the NatWest Six Nations.