| 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 (sh|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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