The severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) Delta variant was first reported in India. Thereafter, the Delta variant became the most prevalent variant globally. Here, we report the complete genome sequence of an early imported case of a SARS-CoV-2 B.1.617.2 AY.122 strain in Iraq. The strain was obtained from a flight passenger from India to Iraq on 20 April 2021.