This is a list of singles which have reached number one on the Irish Singles Chart in 1979.
| Week ending | Song | Artist |
|---|---|---|
| 6 January | " Mary's Boy Child / Oh My Lord" | Boney M |
| 13 January | " Y.M.C.A." | Village People |
| 20 January | ||
| 27 January | ||
| 3 February | ||
| 10 February | " Chiquitita" | ABBA |
| 17 February | ||
| 24 February | ||
| 3 March | " Tragedy" | The Bee Gees |
| 10 March | ||
| 17 March | " I Will Survive" | Gloria Gaynor |
| 24 March | ||
| 31 March | ||
| 7 April | ||
| 14 April | " Bright Eyes" | Art Garfunkel |
| 21 April | ||
| 28 April | ||
| 5 May | " Hallelujah" | Milk and Honey |
| 12 May | "Bright Eyes" | Art Garfunkel |
| 19 May | ||
| 26 May | " Sunday Girl" | Blondie |
| 2 June | ||
| 9 June | ||
| 16 June | ||
| 23 June | " Dance Away" | Roxy Music |
| 30 June | " Do You Want Your Old Lobby Washed Down, Con Shine" | Brendan Shine |
| 7 July | ||
| 14 July | ||
| 21 July | ||
| 28 July | " Green Fields Of France" | The Furey Brothers & Davey Arthur |
| 4 August | " I Don't Like Mondays" | The Boomtown Rats |
| 11 August | ||
| 18 August | ||
| 25 August | ||
| 1 September | " We Don't Talk Anymore" | Cliff Richard |
| 8 September | ||
| 15 September | ||
| 22 September | ||
| 29 September | " Viva Il Papa" | Catriona Walsh |
| 6 October | " Welcome John Paul II" | Jim Tobin |
| 13 October | ||
| 20 October | " Message in a Bottle" | The Police |
| 27 October | " Video Killed the Radio Star" | The Buggles |
| 3 November | ||
| 10 November | " Gimme! Gimme! Gimme! (A Man After Midnight)" | ABBA |
| 17 November | " When You're in Love with a Beautiful Woman" | Dr. Hook |
| 24 November | ||
| 1 December | ||
| 8 December | " Walking on the Moon" | The Police |
| 15 December | " Another Brick in the Wall (Part 2)" | Pink Floyd |
| 22 December | ||
| 29 December |
- 20 Number Ones
- Most weeks at No.1 (song): "Bright Eyes" - Art Garfunkel, "Do You Want Your Oul Lobby Washed Down" - Brendan Shine (5)
- Most weeks at No.1 (artist): Art Garfunkel, Brendan Shine (5)
- Most No.1s: Abba (2), The Police (2)
- Two songs about the visit by Pope John Paul II to Ireland reached No. 1