The track, which marks the band's first number one in their home country, spends a third week at the top.
Elsewhere in the Top 10, Kings of Leon's 'Radioactive' lands at number five, while Must Be The Music's Emma's imagination enters at seven with 'Focus'.
Further down the chart, Maroon 5 slip from ten to 20 with 'Misery', while Charice and Iyaz debut at 21 with 'Pyramid'.
Two Glee songs enter the chart following the start of the show's second season, with the cast's version of 'Telephone' entering at number 22 and a cover of Beyoncé's 'Listen' landing at 35.
Enrique Iglesias and Nicole Scherzinger's duet 'Heartbeat' debuts at 40.
The Irish top ten singles in full:
1. (1) The Script: 'For The First Time'
2. (3) Eminem ft. Rihanna: 'Love The Way You Lie'
3. (2) Katy Perry: 'Teenage Dream'
4. (4) Taio Cruz: 'Dynamite'
5. (*) Kings Of Leon: 'Radioactive'
6. (8) Usher ft. Pitbull: 'DJ Got Us Fallin' In Love'
7. (*) Emma's Imagination: 'Focus'
8. (7) Flo Rida ft. David Guetta: 'Club Can't Handle Me'
9. (6) Brandon Flowers: 'Crossfire'
10. (5) Alexandra Burke: 'Start Without You'