| Yugoslav Cup | |
| Year: | 1971–72 |
| Other Titles: | Marshal Tito Cup |
| Country: | Yugoslavia |
| Winners: | Hajduk Split (2nd title) |
| Second: | Dinamo Zagreb |
| Prev Season: | 1970–71 |
| Next Season: | 1973 |
The 1971–72 Yugoslav Cup was the 25th season of the top football knockout competition in SFR Yugoslavia, the Yugoslav Cup (sh|Kup Jugoslavije), also known as the "Marshal Tito Cup" (Kup Maršala Tita), since its establishment in 1946.
In the following tables winning teams are marked in bold; teams from outside top level are marked in italic script.
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | Borac Čačak | 4–0 | Hajduk Kula | ||||
| 2 | Borovo | 1–0 | Proleter Zrenjanin | ||||
| 3 | Dinamo Zagreb | 1–0 | Sarajevo | ||||
| 4 | Hajduk Split | 1–0 | Sloboda Tuzla | ||||
| 5 | Prishtina | 1–1 (4–5 p) | Radnički Niš | ||||
| 6 | Radnički Kragujevac | 0–1 | Red Star | ||||
| 7 | Rijeka | 0–1 | Olimpija Ljubljana | ||||
| 8 | Sutjeska Nikšić | 1–2 | Vardar |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | Borovo | 1–2 | Dinamo Zagreb | ||||
| 2 | Olimpija Ljubljana | 2–1 (a.e.t.) | Red Star | ||||
| 3 | Radnički Niš | 2–3 | Hajduk Split | ||||
| 4 | Vardar | 2–1 (a.e.t.) | Borac Čačak |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | Dinamo Zagreb | 1–0 | Vardar | ||||
| 2 | Olimpija Ljubljana | 0–2 | Hajduk Split |
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