This is a list of singles which have reached number one on the Irish Singles Chart in 1979.
| Week ending | Song | Artist | Ref. |
|---|---|---|---|
| 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 | [1] |
| 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 | |||