The Bajan star remains at number one with 'We Found Love', while Florence + the Machine also retain their spot at two with 'Shake It Out'.
One Direction's 'Gotta Be You' is the highest new entry at three, trailed by Professor Green's 'Read All About It' at four and Flo Rida's 'Good Feeling' at five.
Just outside the top ten, Westlife's 'Lighthouse' debuts at 11, while 'This Isn't Everything You Are' by Snow Patrol lands at 18.
Labrinth's 'Earthquake' resides at 25, Christina Perri's 'A Thousand Years' slips to 29 and The Saturdays enter at number 31 with 'My Heart Takes Over'.
Lady GaGa's 'Marry The Night' jumps up to 34, while the cast of Glee round off the top 40 with their Adele mash-up 'Rumour Has It'/ 'Someone Like You'.
This week's Irish Top 10 is as follows:
1. (1) Rihanna feat. Calvin Harris: 'We Found Love'
3. (-) One Direction: 'Gotta Be You'
4. (3) Professor Green feat. Emeli Sande: 'Read All About It'
5. (-) Flo Rida: 'Good Feeling'
6. (9) Ed Sheeran: 'Lego House'
7. (4) Christina Perri: 'Jar Of Hearts'
8. (5) LMFAO: 'Sexy And I Know It'
9. (7) Lana Del Rey: 'Video Games'
10. (16) David Guetta feat. Usher: 'Without You'
Watch the music video for Rihanna's 'We Found Love' below: