The Bajan performer remains at number one with 'We Found Love', while Florence + the Machine retain their place at two with 'Shake It Out'.
Flo Rida advances two places to three with 'Good Feeling', while Sara Bareilles and Ingrid Michaelson vault up to number four from 22 with 'Winter Song'.
Christina Perri's Twilight track 'A Thousand Years' jumps up the chart to 11, One Direction's 'Gotta Be You' tumbles to 12 and Olly Murs's 'Dance With Me Tonight' is this week's highest new entry at 15.
The cast of Glee soar 21 places to 19 with their Adele mash-up of 'Someone Like You' and 'Rumour Has It', while Rebecca Ferguson debuts at 23 with 'Nothing's Real But Love'.
Towards the bottom of the chart, En Vogue's 'Don't Let Go (Love)' re-enters at 36 after Little Mix's performance of the track on last weekend's X Factor.
Kelly Rowland's 'Down For Whatever' debuts at number 38, while Rihanna and Jay-Z collaboration 'Talk That Talk' sits at 40.
This week's Irish Top 10 is as follows:
1. (1) Rihanna feat. Calvin Harris: 'We Found Love'
2. (2) Florence + the Machine: 'Shake It Out'
3. (5) Flo Rida: 'Good Feeling'
4. (22) Sara Bereilles & Ingrid Michaelson: 'Winter Song'
5. (4) Professor Green feat. Emeli Sande: 'Read All About It'
6. (6) Ed Sheeran: 'Lego House'
7. (7) Christina Perri: 'Jar Of Hearts'
8. (9) Lana Del Rey: 'Video Games'
9. (8) LMFAO: 'Sexy And I Know It'
10. (13) Maroon 5 feat. Christina Aguilera: 'Moves Like Jagger'
Watch the music video for Rihanna's 'We Found Love' below: