This is a list of singles that topped the Irish Singles Chart in 1965.
Prior to 1992, the Irish singles chart was compiled from trade shipments from the labels to record stores, rather than on consumer sales.
The chart release date changed from Friday to Monday effective 4 January and then to Sunday on 5 December.
| Issue Date | Song | Artist | Ref. |
|---|---|---|---|
| 4 January | "I Feel Fine" | The Beatles | |
| 11 January | |||
| 18 January | "The Hucklebuck" | Brendan Bowyer | |
| 25 January | |||
| 1 February | |||
| 8 February | |||
| 15 February | |||
| 22 February | |||
| 1 March | |||
| 8 March | "Born to Be with You" | Butch Moore | |
| 15 March | |||
| 22 March | "If I Didn't Have a Dime" | Tom Dunphy | |
| 29 March | |||
| 5 April | "Walking the Streets in the Rain" | Butch Moore | |
| 12 April | |||
| 19 April | |||
| 26 April | "Ticket to Ride" | The Beatles | |
| 3 May | |||
| 10 May | |||
| 17 May | |||
| 24 May | "Every Step Of The Way" | Dickie Rock | |
| 31 May | |||
| 7 June | |||
| 14 June | "Long Live Love" | Sandie Shaw | |
| 21 June | |||
| 28 June | "Crying In The Chapel" | Elvis Presley | |
| 5 July | |||
| 12 July | |||
| 19 July | "I'm Alive" | The Hollies | |
| 26 July | "Mr. Tambourine Man" | The Byrds | [1] |
| 2 August | "Help!" | The Beatles | |
| 9 August | |||
| 16 August | |||
| 23 August | |||
| 30 August | |||
| 6 September | "Don't Lose Your Hucklebuck Shoes" | Brendan Bowyer | |
| 13 September | "(I Can't Get No) Satisfaction" | The Rolling Stones | |
| 20 September | |||
| 27 September | |||
| 4 October | |||
| 11 October | "Tears" | Ken Dodd | |
| 18 October | |||
| 25 October | |||
| 1 November | |||
| 8 November | "Yesterday Man" | Chris Andrews | |
| 15 November | |||
| 22 November | "Wishing It Was You" | Dickie Rock | |
| 29 November | |||
| 5 December | "The Carnival Is Over" | The Seekers | |
| 12 December | |||
| 19 December | "Day Tripper"/"We Can Work It Out" | The Beatles | |
| 26 December |