Which Islamic year is going on ___ ? June 28, 2024 – by admin 0A. 1445 AHB. 1477C. 1439D. 1440Since 19 July 2023 CE, the current Islamic year is 1445 AH. In the Gregorian calendar reckoning, 1445 AH runs from 19 July 2023 to approximately 7 July 2024.