1986–87 Yugoslav Cup
The 1986–87 Yugoslav Cup was the 39th 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. Hajduk Split beat Rijeka in the final.
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 | Belišće | 1–2 | Sutjeska Nikšić |
| 2 | Budućnost Banovići | 0–0 | Dinamo Zagreb |
| 3 | Crvena Zastava Kragujevac | 1–1 | Sarajevo |
| 4 | Karlovac | 1–0 | Prishtina |
| 5 | Maribor | 3–0 | Vardar |
| 6 | Neretva | 0–1 | Budućnost Titograd |
| 7 | OFK Kikinda | 0–1 | Velež |
| 8 | OFK Prijedor | 2–3 | Sloboda Tuzla |
| 9 | Osijek | 7–0 | Pobeda Prilep |
| 10 | Radnički Kragujevac | 3–2 | Partizan |
| 11 | Red Star | 1–1 | OFK Belgrade |
| 12 | Rijeka | 2–0 | Vlaznimi Đakovica |
| 13 | Spartak Subotica | 1–1 | Dinamo Vinkovci |
| 14 | Tekstilac Bijelo Polje | 0–7 | Hajduk Split |
| 15 | Vojvodina | 3–0 | Čelik Zenica |
| 16 | Željezničar Sarajevo | 2–2 | Radnički Niš |