| Event: | 13th SFR Yugoslavia Chess Championship |
| Location: | Sarajevo |
| Champion: | Svetozar Gligorić and Borislav Ivkov |
| Previous: | 1957 SFR Yugoslavia Chess Championship |
| Next: | 1959 SFR Yugoslavia Chess Championship |
The 1958 SFR Yugoslavia Chess Championship was the 13th edition of SFR Yugoslav Chess Championship. Held in Sarajevo, SFR Yugoslavia, SR Bosnia & Herzegovina. The tournament was won by Svetozar Gligorić and Borislav Ivkov.
| 1 | Svetozar Gligorić (35) | 7 | 11 | 1 | 12.5 | |
| 2 | Borislav Ivkov (25) | 6 | 13 | 0 | 12.5 | |
| 3 | Božidar Đurašević (25) | 5 | 13 | 1 | 11.5 | |
| 4 | Aleksandar Matanović (28) | 6 | 11 | 2 | 11.5 | |
| 5 | Petar Trifunović (48) | 3 | 16 | 0 | 11 | |
| 6 | Milan Matulović (23) | 7 | 8 | 4 | 11 | |
| 7 | Rajko Bogdanović (27) | 5 | 11 | 3 | 10.5 | |
| 8 | Borislav Milić (33) | 4 | 13 | 2 | 10.5 | |
| 9 | Vladimir Sokolov (25) | 6 | 9 | 4 | 10.5 | |
| 10 | Stojan Puc (37) | 3 | 14 | 2 | 10 | |
| 11 | Milan Vukčević (21) | 3 | 13 | 3 | 9.5 | |
| 12 | Dragoljub Ćirić (23) | 4 | 11 | 4 | 9.5 | |
| 13 | Dragoljub Janošević (35) | 7 | 4 | 8 | 9 | |
| 14 | Dragutin Dimc (26) | 5 | 8 | 6 | 9 | |
| 15 | Sava Vuković (46) | 3 | 10 | 6 | 8 | |
| 16 | Dušan Ivković (28) | 1 | 12 | 6 | 7 | |
| 17 | Arsenije Lukić (26) | 2 | 10 | 7 | 7 | |
| 18 | Nikola Karaklajić (32) | 3 | 7 | 9 | 6.5 | |
| 19 | Vinko Cuderman (25) | 2 | 9 | 8 | 6.5 | |
| 20 | Jovan Sofrevski (23) | 2 | 9 | 8 | 6.5 | |