| 1995–96 FR Yugoslavia Cup | |
| Num Teams: | 32 |
| Winners: | Red Star |
| Second: | Partizan |
| Matches: | 46 |
| Goals: | 159 |
| Prev Season: | 1994–95 |
| Next Season: | 1996–97 |
The 1995–96 FR Yugoslavia Cup was the fourth season of the FR Yugoslavia's annual football cup. The cup defenders was Red Star Belgrade, and they were him successfully defended, after they defeated FK Partizan in the final.
|}Note: Roman numerals in brackets denote the league tier the clubs participated in the 1995–96 season.
|}Note: Roman numerals in brackets denote the league tier the clubs participated in the 1995–96 season.
|}Note: Roman numerals in brackets denote the league tier the clubs participated in the 1995–96 season.
|}Note: Roman numerals in brackets denote the league tier the clubs participated in the 1995–96 season.
Red Star won 6–1 on aggregate.