Iraq FA Cup
In the 1976–77 Iraqi National League, Al-Zawraa managed to retain their title, winning the league undefeated with a record of nine wins and two draws. The 1977–78 season saw Al-Zawraa finish as runners-up in the league for the first time, ending up two points behind champions Al-Mina'a, meanwhile in the 1977–78 Iraq FA Cup, Al-Zawraa were knocked out in the quarter-final meaning they had their first trophyless season since their promotion to the top-flight. The 1978–79 Iraqi National League saw Al-Zawraa win the league undefeated again, winning seven and drawing five, and they also won the Iraq FA Cup with a 3–1 win against Al-Jaish to secure their second double. Al-Zawraa were very close to winning the league in the 1979–80 season as well; if they had defeated Al-Shabab in their last league game, they would have won the league, but they drew 1–1 and handed the title to Baghdad rivals Al-Shorta, finishing behind them on goal difference. They also failed to win the Iraq FA Cup that season, losing the semi-final to Al-Talaba.