After brief training, "Anthony" and a group of ships sailed on 2 June for the invasion of the Marianas. They arrived in Kwajalein on 8 June to refuel, then turned westward toward the Marianas. On 14 June, the destroyer fired her guns on Saipan and, the next day, screened other ships during landings on Saipan. On 16 June, she bombarded Guam. The destroyer then detached to join Task Force 58 (TF 58), the Fast Carrier Task Force. Her duties then included screening the carriers and rescuing downed aviators.