This is a list of singles which have reached number one on the Irish Singles Chart in 1984.
| Week ending | Song | Artist | Ref. | |
|---|---|---|---|---|
| 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)" | |||
| 5 May | ||||
| 12 May | "The Reflex" | Duran Duran | ||
| 19 May | ||||
| 26 May | "Automatic" | |||
| 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 | [1] | |
| 8 December | ||||
| 15 December | ||||
| 22 December | "Do They Know It's Christmas?" | Band Aid | ||
| 29 December |