| Yugoslav Cup | |
| Year: | 1985–86 |
| Other Titles: | Marshal Tito Cup |
| Winners: | Velež (2nd title) |
| Second: | Dinamo Zagreb |
| Scoring Leader: | Marko Mlinarić (5) |
| Prev Season: | 1984–85 |
| Next Season: | 1986–87 |
The 1985–86 Yugoslav Cup was the 38th season of the top football knockout competition in SFR Yugoslavia, the Yugoslav Cup (Kup Jugoslavije), also known as the "Marshal Tito Cup" (Kup Maršala Tita), since its establishment in 1946. It was won by Velež.
| width=100 | Round ! | width=130 | Date ! | width=100 | Fixtures ! | width=100 | Clubs |
|---|---|---|---|---|---|---|---|
| 30 October 1985 | 16 | 32 → 16 | |||||
| 20 November 1985 | 8 | 16 → 8 | |||||
| 22–23 February 1986 | 8 | 8 → 4 | |||||
| 9 April 1986 | 4 | 4 → 2 | |||||
| 14 May 1986 | 2 | 2 → 1 | |||||
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 Travnik | 1–4 | Hajduk Split | ||||
| 2 | BSK Slavonski Brod | 3–0 | Sloboda | ||||
| 3 | Red Star | 2–0 | OFK Kikinda | ||||
| 4 | Dinamo Zagreb | 2–1 | Iskra | ||||
| 5 | Šibenik | 3–1 | Vojvodina | ||||
| 6 | Liria | 1–2 | Vardar | ||||
| 7 | Lovćen | 0–4 | Partizan | ||||
| 8 | Maribor | 1–0 | Prishtina | ||||
| 9 | Osijek | 5–0 | AIK Bačka Topola | ||||
| 10 | Rijeka | 4–1 | Belasica | ||||
| 11 | OFK Belgrade | 3–0 | Dinamo Vinkovci | ||||
| 12 | 14. Oktobar | 2–1 | Sutjeska | ||||
| 13 | Rad | 1–0 (3–5 p) | Sarajevo | ||||
| 14 | Samobor | 0–1 | Budućnost | ||||
| 15 | Željezničar Doboj | 1–5 | Velež | ||||
| 16 | Željezničar Sarajevo | 2–2 (7–8 p) | Radnički Niš |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | BSK Slavonski Brod | 1–1 (4–5 p) | Dinamo Zagreb | ||||
| 2 | Budućnost | 1–0 | Rijeka | ||||
| 3 | Hajduk Split | 0–0 (3–4 p) | OFK Belgrade | ||||
| 4 | Osijek | 1–0 | Maribor | ||||
| 5 | Partizan | 5–0 | 14. Oktobar | ||||
| 6 | Radnički Niš | 1–0 | Šibenik | ||||
| 7 | Vardar | 0–2 | Red Star | ||||
| 8 | Velež | 2–0 | Rad |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | Red Star | 3–1 | Osijek | ||||
| 2 | OFK Belgrade | 4–1 | Budućnost | ||||
| 3 | Partizan | 1–1 (3–5 p) | Velež | ||||
| 4 | Radnički Niš | 2–2 (5–6 p) | Dinamo Zagreb |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | Dinamo Zagreb | 4–0 | Red Star | ||||
| 2 | Velež | 3–0 | OFK Belgrade |
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