The 1979–80 Iraq FA Cup was the fourth edition of the Iraq FA Cup. The tournament was won by Al-Jaish for the first time, beating Al-Talaba 4–2 on penalties in the final after a 1–1 draw in which Jamal Ali scored Al-Talaba's goal. The first two rounds were between teams from the lower division, before the top-flight clubs entered at the round of 16.
In the 1981 tournament, there were 17 rounds.