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.
Quarterfinals
The matches were played on 10 April 1996.
| Team 1 | Score | Team 2 |
|---|---|---|
| Čelik Zenica | 6–0 | Jedinstvo Bihać |
| Iskra Bugojno | 2–5 | Travnik |
| Sloboda Tuzla | 3–0 | Mladost Gacko |
| Sarajevo | 4–1 | Radnički Goražde |
Semifinals
The matches were played on 15 May 1996.
| Team 1 | Score | Team 2 |
|---|---|---|
| Sarajevo | 0–0 (5–6 p) | Čelik Zenica |
| Sloboda Tuzla | 5–1 | Travnik |
Final
| Čelik Zenica | 2–1 (a.e.t.) | Sloboda Tuzla |
|---|---|---|
Bujak  16'Tumbić 110' (pen.) |
Report | Omerović 28' |
Referee: Salem Prolić
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Match officials
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