| Season: | 1959–60 |
| Competition: | Iraq Central FA Premier League |
| Winners: | Al-Athori (1st title) |
| Relegated: | Al-Adhamiya |
| Prevseason: | 1958–59 |
| Nextseason: | 1960–61 |
The 1959–60 Iraq Central FA First Division Cup was the 12th season of the Iraq Central FA Premier League (the top division of football in Baghdad and its neighbouring cities from 1948 to 1973). It was played as a double-elimination tournament. Al-Athori beat Al-Quwa Al-Jawiya 3–0 in the final on 6 May 1960 to win their first title.
| Team | Qualification or relegation | |||
| 1 | Al-Athori | League Champions | ||
| 2 | Al-Quwa Al-Jawiya | |||
| 3 | Al-Shorta Select XI | |||
| 4 | Amanat Al-Asima | |||
| 5 | Al-Sikak Al-Hadeed | |||
| 5 | bgcolor=CCCCCC style="text-align: left" | Al-Ghazl wal-Naseej | Relocated to Mosul[1] | |
| 7 | bgcolor=CCCCCC style="text-align: left" | Al-Liwa Al-Thamin | Relocated to Baquba[2] | |
| 8 | Maslahat Naqil Al-Rukab | |||
| Al-Numan | ||||
| 10 | Al-Kuliya Al-Askariya | |||
| 11 | Al-Failiya | |||
| 12 | bgcolor=FFBBBB style="text-align: left" | Al-Adhamiya | Relegated to Iraq Central FA Second Division Cup[3] |
--------------------
----
Al-Failiya eliminated----Al-Adhamiya eliminated
The match was ended five minutes early after two Amanat Al-Asima players walked off the field in protest at a refereeing decision----
Al-Numan eliminated----
Maslahat Naqil Al-Rukab eliminated----Al-Kuliya Al-Askariya eliminated
Al-Liwa Al-Thamin eliminated----Al-Ghazl wal-Naseej eliminated----Al-Sikak Al-Hadeed eliminated
Amanat Al-Asima eliminated----Al-Shorta Select XI eliminated