| 2001–02 FR Yugoslavia Cup | |
| Num Teams: | 32 |
| Champions: | Red Star |
| Runner-Up: | Sartid |
| Matches: | 31 |
| Goals: | 67 |
| Prevseason: | 2000–01 |
| Nextseason: | 2002–03 |
The 2001–02 FR Yugoslavia Cup was the tenth and last full season of the FR Yugoslavia's annual football cup. The cup defenders was FK Partizan, but was defeated by FK Železnik in the quarter-finals. Red Star Belgrade has the winner of the competition, after they defeated FK Sartid.
Thirty-two teams entered in the First Round. The matches were played on 10 October 2001.
|}1The match was played in Belgrade.
Note: Roman numerals in brackets denote the league tier the clubs participated in the 2001–02 season.
The 16 winners from the prior round enter this round. The matches were played on 23, 24, 30 October 2001.
|}Note: Roman numerals in brackets denote the league tier the clubs participated in the 2001–02 season.
The eight winners from the prior round enter this round. The matches were played on 21 and 27 November 2001.
|}Note: Roman numerals in brackets denote the league tier the clubs participated in the 2001–02 season.