A US-led coalition official confirmed the projectiles fell outside the coalition’s segment of the base.
No group has claimed responsibility for the attack yet.
Since October, at least 30 attacks have targeted American troops or diplomats, severely straining ties between Baghdad and Washington.
In March, two Americans and one British soldier were killed following a barrage of rockets on Taji base.
Anti-US sentiment has been running high in Iraq following Washington’s January 3 assassination of top Iranian anti-terror commander Lieutenant General Qassem Soleimani and senior Hashd al-Sha’abi commander Abu Mahdi al-Muhandis, in addition to several other comrades, outside the Baghdad airport.