The lead single from their second LP Science And Faith, knocks Katy Perry's 'Teenage Dream' off the top spot after just one week.
Alexandra Burke secured her fifth Irish top five as 'Start Without You' debuts at number five. Meanwhile, Must Be The Music's Emma's Imagination enters at number nine with single 'This Day'.
There were disappointing debuts for Alesha Dixon and McFly, as their new releases chart at number 23 and 31 respectively.
The Irish top ten singles in full:
1. (*) The Script: 'For The First Time'
2. (1) Katy Perry: 'Teenage Dream'
3. (2) Eminem ft. Rihanna: 'Love The Way You Lie'
4. (3)Taio Cruz: 'Dynamite'
5. (*) Alexandra Burke: 'Start Without You'
6. (4) Flo Rida ft. David Guetta: 'Club Can't Handle Me'
7. (6) Yolanda Be Cool & DCUP: 'We No Speak Americano'
8. (7) Brandon Flowers: 'Crossfire'
9. (*) Emma's Imagination: 'This Day'
10. (9) Pepper & Piano: 'You Took My Heart'
> Click here for this week's Irish album chart