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.

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