The singer's second single 'How We Do (Party)' climbs a place to claim this week's top spot in Ireland, while Calvin Harris and Example fall to two with 'We'll Be Coming Back'.
Florence + the Machine remain at number three with 'Spectrum', Of Monsters and Men move up to four with 'Little Talks', and will.i.am is at five with 'This Is Love'.
Nicki Minaj jumps from 19 to eight with 'Pound the Alarm', Wiley's 'Heatwave' is at 11 and Pink's 'Blow Me (One Last Kiss)' is at 24.
Lawson land at number 32 with 'Taking Over Me', while Justin Bieber's new single 'As Long as You Love Me' vaults up 49 places to 38.
This week's Irish Top 10 is as follows:
1. (2) Rita Ora: 'How We Do (Party)'
2. (1) Calvin Harris ft. Example: 'We'll Be Coming Back'
3. (3) Florence + the Machine: 'Spectrum (Say My Name)'
4. (10) Of Monsters and Men: 'Little Talks'
5. (4) will.i.am ft. Eva Simons: 'This Is Love'
6. (5) Flo Rida: 'Whistle'
7. (7) Owl City and Carly Rae Jepsen: 'Good Time'
8. (19) Nicki Minaj: 'Pound the Alarm'
9. (6) Stooshe: 'Black Heart'
10. (15) fun.: 'Some Nights'
Watch the music video for Rita Ora's 'How We Do (Party)' below: