"For conspicuous gallantry and intrepidity as Commanding Officer of the Destroyer U.S.S. SELFRIDGE (DD-357), in action against enemy Japanese forces off Vella Lavella, Solomon Islands, on the night of 6 - 7 October 1943. Assigned the hazardous task of intercepting and preventing an attempt by hostile forces to evacuate beleaguered Japanese troops from the area, Commander Peckham fearlessly sought out and engaged nine enemy ships, closing immediately to 7,000 yards and delivering a devastating torpedo attack followed by accurate and effective gunfire. When the other two vessels of his small squadron were severely damaged in the furious battle and compelled to withdraw, he courageously continued directing the gallant efforts of his ship until the enemy was repulsed and, although the heavily damaged SELFRIDGE was in danger of capsizing and sinking, he and his heroic crew worked tirelessly in the efficient execution of damage control measures and brought the ship safely to port. By his expert tactical knowledge and inspiring leadership in the face of overwhelming odds, Commander Peckham greatly contributed to the sinking of one or more hostile vessels and the damaging of three others. His gallant actions and dedicated devotion to duty, without regard for his own life, were in keeping with the highest traditions of military service and reflect great credit upon himself and the United States Naval Service."
Commander South Pacific: Serial 002452-002453 (Gold Star in lieu of a Second Award of the Silver Star)
"For conspicuous gallantry and intrepidity as Commanding Officer of the Destroyer U.S.S. WALDRON (DD-699), in action against enemy forces in Japanese home waters, from 10 February to 4 March 1945. Skillfully maneuvering his ship in the darkness on 18 February, Commander Peckham rammed and destroyed an enemy picket boat attempting to penetrate the destroyer screen, thereby contributing materially to the protection of the Task Group and the resultant success of the operation. His professional skill and devotion to duty were in keeping with the highest traditions of the United States Naval Service."
Commander, 1st Carrier Task Force: Serial 0328 (Second Gold Star in lieu of a Third Award of the Silver Star)