| Bosnia and Herzegovina Football Cup | |
| Year: | 1995–96 |
| Country: |  Bosnia and Herzegovina |
| Defending Champions: | Čelik |
| Winners: | Čelik |
| Second: | Sloboda Tuzla |
| Prev Season: | 1994–95 |
| Next Season: | 1996–97 |
1995–96 Bosnia and Herzegovina Football Cup was the second season of the Bosnia and Herzegovina's annual football cup. The Cup was won by Čelik Zenica who defeated Sloboda Tuzla in the final.
The matches were played on 10 April 1996.
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The matches were played on 15 May 1996.
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