The band's latest hit 'Hall of Fame' remains at number one, while Lykke Li stays put at two with 'I Follow Rivers'.
South Korean pop sensation Psy climbs from 19 to three with 'Gangnam Style', Of Monsters and Men are at four with 'Little Talks' and Taylor Swift remains at five with 'We Are Never Ever Getting Back Together'.
Rihanna lands at 17 with 'Diamonds' after less than 48 hours on sale, while Swift's promotional single 'Begin Again' enters at 25.
Elsewhere, Jason Mraz is at 27 with 'I Won't Give Up', Amelia Lily is at 37 with 'You Bring Me Joy' and David Guetta's 'Play Hard' falls to 43.
This week's Irish Top 10 is as follows:
1. (1) The Script ft. will.i.am: 'Hall of Fame'
2. (2) Lykke Li: 'I Follow Rivers'
3. (19) Psy: 'Gangnam Style'
4. (3) Of Monsters and Men: 'Little Talks'
5. (5) Taylor Swift: 'We Are Never Ever Getting Back Together'
6. (6) fun.: 'Some Nights'
7. (7) Sam and the Womp: 'Bom Bom'
8. (12) Mumford & Sons: 'I Will Wait'
9. (10) David Guetta ft. Sia: 'She Wolf (Falling to Pieces)'
10. (8) Owl City and Carly Rae Jepsen: 'Good Time'
Watch the music video for The Script's 'Hall of Fame' below: