The 1978–79 Yugoslav Cup was the 31st season of the top football knockout competition in SFR Yugoslavia, the Yugoslav Cup (Serbo-Croatian: Kup Jugoslavije), also known as the "Marshal Tito Cup" (Kup Maršala Tita), since its establishment in 1946. It was won by NK Rijeka, who successfully managed to defend the title having won the 1977–78 Yugoslav Cup.
Calendar
| Round | Dates | Fixtures | Clubs |
|---|---|---|---|
| First round | 30 August 1978 | 16 | 32 → 16 |
| Second round | 8 November 1978 | 8 | 16 → 8 |
| Quarter-finals | 25 February 1979 | 8 | 8 → 4 |
| Semi-finals | 5 April 1979 | 4 | 4 → 2 |
| Final | 16 and 24 May 1979 | 2 | 2 → 1 |
First round
| Tie no | Home team | Score | Away team |
|---|---|---|---|
| 1 | Radnički Kragujevac (II) | 5–0 | Osijek |
| 2 | Red Star | 4–1 | Budućnost |
| 3 | Partizan | 5–1 | OFK Beograd |
| 4 | Slaven Koprivnica (III) | 1–1 (5–4 p) | Sloboda |
| 5 | Dinamo Zagreb | 2–2 (2–5 p) | Velež |
| 6 | Čelik (II) | 3–1 | Vojvodina |
| 7 | Istra (III) | 2–1 | 16th July Garrison (Niš) |
| 8 | Merkator Ljubljana (II) | 2–2 (7–5 p) | Trepča (II) |
| 9 | Željezničar | 4–0 | Sarajevo |
| 10 | Hajduk Split | 2–2 (7–8 p) | Proleter Zrenjanin (II) |
| 11 | Radnički Niš | 3–1 | Olimpija Ljubljana |
| 12 | Novi Sad (II) | 2–0 | Rudar Ljubija (II) |
| 13 | NK Zagreb | 1–1 (1–4 p) | Borac Banja Luka |
| 14 | REMHK Kosovo (III) | 0–0 (2–4 p) | Vardar (II) |
| 15 | Belišće (III) | 1–2 | Sutjeska (II) |
| 16 | Rijeka | 3–0 | Borac Čačak (II) |
Second round
| Tie no | Home team | Score | Away team |
|---|---|---|---|
| 1 | Proleter Zrenjanin (II) | 1–0 | Čelik (II) |
| 2 | Sutjeska (II) | 3–3 (7–8 p) | Red Star |
| 3 | Radnički Niš | 1–0 | Radnički Kragujevac (II) |
| 4 | Vardar (II) | 1–1 (5–4 p) | Slaven Koprivnica (III) |
| 5 | Rijeka | 0–0 (4–3 p) | Istra (III) |
| 6 | Novi Sad (II) | 2–2 (7–5 p) | Željezničar |
| 7 | Velež | 0–0 (11–12 p) | Partizan |
| 8 | Borac Banja Luka | 2–1 | Merkator Ljubljana (II) |
Quarter-finals
| Tie no | Home team | Score | Away team |
|---|---|---|---|
| 1 | Proleter Zrenjanin (II) | 2–2 (5–3 p) | Vardar (II) |
| 2 | Radnički Niš | 0–1 | Rijeka |
| 3 | Red Star | 4–0 | Novi Sad (II) |
| 4 | Borac Banja Luka | 2–2 (4–6 p) | Partizan |
Semi-finals
| Partizan | 1–0 | Proleter Zrenjanin |
|---|---|---|
Jović  81' |
Final
First leg
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Second leg
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