| Swiss Cup | |
| Year: | 1995–96 |
| Country: |  Switzerland |
| Winners: | FC Sion |
| Second: | Servette FC |
| Prev Season: | 1994–95 |
| Next Season: | 1996–97 |
The 1995–96 Swiss Cup was the 71st season of Switzerland's annual football cup competition. It began on 9 August with the first games of Round 1 and ended on 19 May 1996 with the Final held at Wankdorf, Bern. The winners earned a place in the qualifying round of the Cup Winners' Cup.
|colspan="3" style="background-color:#99CCCC"|16 September 1995|-|colspan="3" style="background-color:#99CCCC"|22 September 1995|-|colspan="3" style="background-color:#99CCCC"|23 September 1995|-|colspan="3" style="background-color:#99CCCC"|24 September 1995|-|colspan="3" style="background-color:#99CCCC"|8 October 1995|}
|colspan="3" style="background-color:#99CCCC"|9 March 1996|-|colspan="3" style="background-color:#99CCCC"|10 March 1996|}
|colspan="3" style="background-color:#99CCCC"|21 March 1996|}
|colspan="3" style="background-color:#99CCCC"|11 April 1996|-|colspan="3" style="background-color:#99CCCC"|23 April 1996|}
|colspan="3" style="background-color:#99CCCC"|7 May 1996|}