| Yugoslav Cup | |
| Year: | 1955 |
| Other Titles: | Marshal Tito Cup |
| Country: | Yugoslavia |
| Winners: | BSK Belgrade (2nd title) |
| Second: | Hajduk Split |
| Prev Season: | 1954 |
| Next Season: | 1956–57 |
The 1955 Yugoslav Cup was the 9th 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.
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 | BSK Belgrade | 4–0 | Vardar | ||||
| 2 | Hajduk Split | 4–2 (a.e.t.) | Budućnost Titograd | ||||
| 3 | Metalac Zagreb | 1–2 | Radnički Belgrade | ||||
| 4 | Napredak Kruševac | 0–3 (p.f.) | Dinamo Zagreb | ||||
| 5 | Sarajevo | 2–4 (a.e.t.) | Red Star | ||||
| 6 | Spartak Subotica | 7–1 | Odred Ljubljana | ||||
| 7 | Vojvodina | 5–0 | Novi Sad | ||||
| 8 | NK Zagreb | 2–0 | Velež |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | BSK Belgrade | 2–1 | Radnički Belgrade | ||||
| 2 | Red Star | 4–1 (a.e.t.) | Dinamo Zagreb | ||||
| 3 | Spartak Subotica | 2–0 | Vojvodina | ||||
| 4 | NK Zagreb | 0–3 | Hajduk Split |
| width=40 | Tie no | width=150 | Home team | width=80 | Score | width=150 | Away team |
|---|---|---|---|---|---|---|---|
| 1 | BSK Belgrade | 4–0 | Red Star | ||||
| 2 | Hajduk Split | 2–0 | Spartak Subotica |
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