Most people agree that the space race ended on July 20, 1969, when Neil Armstrong stepped onto the moon for the first time [source: National Air and Space Museum]. As the climax of space history so far, the lunar landing essentially squelched the heated competition between the United States and the USSR. But the story isn't opened and closed so quickly. Although the Americans put a man on the moon first, that triumph was fueled by a series of back-to-back accomplishments by the Soviets. All in all, the space race played out as a dramatic comeback for the United States starting in 1968, rather than a decisive victory.