A US official, on condition of anonymity, told Reuters the military shot down four Iranian attack drones and struck a ground control station in the port city of Bandar Abbas that was about to launch a fifth drone.
Iran's Revolutionary Guards said on Thursday they targeted a US airbase at 0450 local time after what they described as an early morning US attack.
Trump rejected a reported draft deal, saying no single country would control the Strait of Hormuz.
The escalation in hostilities highlighted threats to the tenuous ceasefire between the US and Iran that took effect in early April, dampening hopes for a peace deal and sending oil prices surging again.