He was awarded the medal while serving as a technical sergeant and acting as leader of his platoon on Luzon island in the northern Philippines; his actions took place on February 5, 1945.
While giving first aid to wounded men on the battlefield, Rudolph noticed that his unit was pinned down by Japanese gunfire from a ditch.
After ordering several riflemen to cover his advance, he proceeded to attack and neutralise seven further pillboxes in quick succession.
Later, when an enemy tank attacked his platoon, he advanced under covering fire, opened its hatch and dropped a white phosphorus grenade inside, killing the crew and negating its threat.
His medal citation concludes that through "his outstanding heroism, superb courage, and leadership, and complete disregard for his own safety, [...] Rudolph cleared a path for an advance which culminated in one of the most decisive victories of the Philippine campaign.".