1995–96 Slovenian Football Cup
| Tournament details | |
|---|---|
| Country |  Slovenia |
| Final positions | |
| Champions | Olimpija Ljubljana (2nd title) |
| Runner-up | Primorje Ajdovščina |
First round
| Home team | Score | Away team |
|---|---|---|
| Nafta Lendava | 2–6 | Maribor |
| Kočevje | 0–3 | Celje |
| Rudar Velenje | 1–0 | Beltinci |
| Vevče | 1–3 | Olimpija Ljubljana |
| Adria Miren | 0–3 | Gorica |
| Izola | 3–5 | Mura Murska Sobota |
| Korotan Prevalje | 3–4 | Primorje Ajdovščina |
| Aluminij Kidričevo | 3–1 | Drava Ptuj |
| Železničar Maribor | 1–2 | Ilirska Bistrica |
| Pobrežje | 0–3 | Koper |
| Cankova | 0–8 | Šentjur |
| Dravinja | 0–2 | Železničar Ljubljana |
| Črnuče | 3–1 | Zagorje |
| Visoko | 1–2 | Naklo |
| Čentiba | 2–1 | Sava Kranj |
| Bakovci | 3–0 | Jadran Dekani |
Round of 16
| Home team | Score | Away team |
|---|---|---|
| Aluminij Kidričevo | 0–5 | Primorje Ajdovščina |
| Koper | 0–1 | Gorica |
| Bakovci | 0–2 | Olimpija Olimpija |
| Ilirska Bistrica | 1–3 | Mura Murska Sobota |
| Železničar Ljubljana | 4–2 | Črnuče |
| Čentiba | 1–17 | Celje |
| Naklo | 3–2 | Šentjur |
| Rudar Velenje | 4–2 | Maribor |
Quarter-finals
| Team #1 | Agg. | Team #2 | 1st leg | 2nd leg |
|---|---|---|---|---|
| Olimpija Ljubljana | 5–1 | Gorica | 3–1 | 2–0 |
| Celje | 3–2 | Mura Murska Sobota | 2–0 | 1–2 |
| Železničar Ljubljana | 1–3 | Rudar Velenje | 0–1 | 1–2 |
| Primorje Ajdovščina | 5–2 | Naklo | 2–0 | 3–2 |
Semi-finals
| Team #1 | Agg. | Team #2 | 1st leg | 2nd leg |
|---|---|---|---|---|
| Olimpija Ljubljana | 3–1 | Rudar Velenje | 3–1 | 0–0 |
| Primorje Ajdovščina | 2–1 | Celje | 0–1 | 2–0 |
Final
First leg
| Primorje | 0 – 1 | Olimpija Ljubljana |
|---|---|---|
Šiljak  13' |
Second leg
| Olimpija Ljubljana | 1 – 1 | Primorje Ajdovščina |
|---|---|---|
| Velkoski 3' |
Vrabac 88' |