1955 Yugoslav Cup
The 1955 Yugoslav Cup was the 9th 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.
First round proper
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 | BSK Beograd | 4–0 | Vardar |
| 2 | Hajduk Split | 4–2 | Budućnost Titograd |
| 3 | Metalac Zagreb | 1–2 | Radnički Beograd |
| 4 | Napredak Kruševac | 0–3 | Dinamo Zagreb |
| 5 | Sarajevo | 2–4 | Red Star |
| 6 | Spartak Subotica | 7–1 | Odred Ljubljana |
| 7 | Vojvodina | 5–0 | Novi Sad |
| 8 | NK Zagreb | 2–0 | Velež |