| Election Name: | 1995 City of Edinburgh Council election |
| Country: | Scotland |
| Flag Image: | Flag of Edinburgh.svg |
| Type: | parliamentary |
| Ongoing: | no |
| Previous Election: | 1992 City of Edinburgh District Council election |
| Previous Year: | 1992 |
| Next Election: | 1999 City of Edinburgh Council election |
| Next Year: | 1999 |
| Seats For Election: | All 58 seats to Edinburgh City Council |
| Majority Seats: | 30 |
| Party1: | Scottish Labour Party |
| Last Election1: | 30 |
| Seats1: | 34 |
| Seat Change1: | 4 |
| Popular Vote1: | 63,511 |
| Percentage1: | 40.7% |
| Party2: | Scottish Conservative and Unionist Party |
| Last Election2: | 23 |
| Seats2: | 14 |
| Seat Change2: | 9 |
| Popular Vote2: | 36,365 |
| Percentage2: | 23.3% |
| Party3: | Liberal Democrats (UK) |
| Last Election3: | 7 |
| Seats3: | 10 |
| Seat Change3: | 3 |
| Popular Vote3: | 28,273 |
| Percentage3: | 18.1% |
| Council control | |
| Posttitle: | Council control after election |
| Before Party: | No overall control |
| After Party: | Labour Party (UK) |
Elections for the City of Edinburgh Council took place on Thursday 6 April 1995, alongside elections to the various newly created unitary councils across Scotland.
Labour won 34 of the council's 58 seats, continuing their control of the council.