This is a list of singles which have reached number one on the Irish Singles Chart in 1984.
| Week ending | Song | Artist |
|---|---|---|
| 7 January | " Only You" | The Flying Pickets |
| 14 January | ||
| 21 January | " Pipes of Peace" | Paul McCartney |
| 28 January | ||
| 4 February | " A Rockin' Good Way" | Shakin' Stevens and Bonnie Tyler |
| 11 February | " Radio Ga Ga" | Queen |
| 18 February | " Girls Just Want to Have Fun" | Cyndi Lauper |
| 25 February | ||
| 3 March | " 99 Red Balloons" | Nena |
| 10 March | ||
| 17 March | ||
| 24 March | ||
| 31 March | " Hello" | Lionel Richie |
| 7 April | ||
| 14 April | ||
| 21 April | ||
| 28 April | " Against All Odds (Take a Look at Me Now)" | Phil Collins |
| 5 May | ||
| 12 May | " The Reflex" | Duran Duran |
| 19 May | ||
| 26 May | " Automatic" | The Pointer Sisters |
| 2 June | "The Reflex" | Duran Duran |
| 9 June | " Wake Me Up Before You Go-Go" | Wham! |
| 16 June | ||
| 23 June | " Two Tribes" | Frankie Goes To Hollywood |
| 30 June | ||
| 7 July | ||
| 14 July | ||
| 21 July | ||
| 28 July | " Hole in My Shoe" | Neil |
| 4 August | "Two Tribes" | Frankie Goes To Hollywood |
| 11 August | ||
| 18 August | " Careless Whisper" | George Michael |
| 25 August | ||
| 1 September | ||
| 8 September | " I Just Called to Say I Love You" | Stevie Wonder |
| 15 September | ||
| 22 September | ||
| 29 September | ||
| 6 October | ||
| 13 October | " The War Song" | Culture Club |
| 20 October | ||
| 27 October | " Freedom" | Wham! |
| 3 November | ||
| 10 November | ||
| 17 November | " I Feel for You" | Chaka Khan |
| 24 November | ||
| 1 December | " I Should Have Known Better" | Jim Diamond |
| 8 December | ||
| 15 December | ||
| 22 December | " Do They Know It's Christmas?" | Band Aid |
| 29 December |
- 19 Number Ones
- Most weeks at No.1 (song): "Two Tribes" - Frankie Goes To Hollywood (7)
- Most weeks at No.1 (artist): Frankie Goes To Hollywood (7)
- Most No.1s: Wham! (2)