 During the Marianas operation, "Conner" continued screening the carriers for the preliminary air strikes on Saipan, Tinian, and Guam, and the raids in the Bonins from 12 to 16 June 1944.As the massive air Battle of the Philippine Sea was fought on 19 and 20 June, she continued her screening, and at the close of the action acted as rescue ship for the carrier planes as they returned from their extreme range strikes on the retiring Japanese fleet.Her force then returned to strike from the air at Iwo Jima on 23 and 24 June and 3 and 4 July.