| Event: | 11th SFR Yugoslavia Chess Championship |
| Location: | Skopje |
| Champion: | Svetozar Gligorić |
| Previous: | 1955 SFR Yugoslavia Chess Championship |
| Next: | 1957 SFR Yugoslavia Chess Championship |
The 1956 SFR Yugoslavia Chess Championship was the 11th edition of SFR Yugoslav Chess Championship. Held in Skopje, SFR Yugoslavia, SR Macedonia. The tournament was won by Svetozar Gligorić.
| 1 | Svetozar Gligorić | 9 | 10 | 0 | 14 |
| 2 | 9 | 9 | 1 | 13.5 | |
| 3 | 8 | 10 | 1 | 13 | |
| 4 | 8 | 7 | 4 | 11.5 | |
| 5 | 5 | 13 | 1 | 11.5 | |
| 6 | 3 | 15 | 1 | 10.5 | |
| 7 | 8 | 4 | 7 | 10 | |
| 8 | 5 | 10 | 4 | 10 | |
| 9 | 3 | 14 | 2 | 10 | |
| 10 | 4 | 11 | 4 | 9.5 | |
| 11 | 4 | 11 | 4 | 9.5 | |
| 12 | 5 | 8 | 6 | 9 | |
| 13 | 3 | 12 | 4 | 9 | |
| 14 | 2 | 14 | 3 | 9 | |
| 15 | 5 | 8 | 6 | 9 | |
| 16 | 4 | 9 | 6 | 8.5 | |
| 17 | 3 | 9 | 7 | 7.5 | |
| 18 | 5 | 2 | 12 | 6 | |
| 19 | 2 | 5 | 12 | 4.5 | |
| 20 | 0 | 9 | 10 | 4.5 | |