1985–86 Yugoslav Cup
The 1985–86 Yugoslav Cup was the 38th season of the top football knockout competition in SFR Yugoslavia, the Yugoslav Cup, also known as the "Marshal Tito Cup", since its establishment in 1946. It was won by Velež.
First round
In the following tables winning teams are marked in bold; teams from outside top level are marked in italic script.| Tie no | Home team | Score | 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 | Sarajevo |
| 14 | Samobor | 0–1 | Budućnost |
| 15 | Željezničar Doboj | 1–5 | Velež |
| 16 | Željezničar Sarajevo | 2–2 | Radnički Niš |