This is a legendary "cross-company" debate that depends on which version of the characters are fighting. In a pure physical contest, Superman (especially the "Post-Crisis" or "New 52" versions) often has a slight edge in raw speed and versatility due to his heat vision and "super-brain" reflexes. However, Thor has a massive strategic advantage: Magic. Superman is notoriously vulnerable to magic, and Thor’s hammer, Mjolnir, is a divine magical artifact capable of channeling the "God Tempest." In the 2003 JLA/Avengers crossover—the only official modern canon meeting—Superman did manage to defeat Thor in a grueling brawl, but he admitted afterward that Thor was one of the toughest opponents he had ever faced and that the win was "by the narrowest of margins." Thor’s immortality and thousands of years of combat experience make him a formidable threat. Ultimately, if Thor can land a magically-charged lightning strike, he wins; if Superman uses his speed to stay out of range and land high-frequency strikes, the Man of Steel takes it.