A bit of an explanation of my reasoning before I begin: Strength: Both of these guys are heavy hitters, both capable of breaking a planet with a punch http://www.incrediblehulkonline.com/asteroidstrength.html http://imgur.com/a/34wer#0 I am going to use World Breaker Hulk as the version, because I think it will be a closer match. WBH has tangled with people of similar strength to Superman, both fighters can threaten planets with just the shockwaves of blows if they get serious, Hulk has been shown to destroy adamantium http://i.imgur.com/bkgjaYS.jpg and draw blood from Hyperion (who could withstand universes colliding, which will come up later) http://i.imgur.com/PnbDFcc.jpg Slight edge to WBH Speed: Superman is far and above the superior in this stat. For Hulk to have a chance in this fight you have to assume that hitting sentry and silver surfer prove light-speed reactions, which I feel is plausible http://i.imgur.com/Umn9pUQ.jpg Large advantage to Superman. Durability: This is probably the most interesting category. Hulk has some amazing feats, such as no-selling a hit from Thanos http://www.reddit.com/r/respectthreads/comments/2pnvcc/respect_the_hulk/ . However, Superman is on another level. Hes survived supernova, tanked huge planets colliding on him http://imgur.com/a/hxjDe, and survived being hit with something strong enough to destroy 10 solar systems http://i.imgur.com/2gREOpX.jpg . Large edge Superman. Misc: Superman has flight, which will prove to be a major advantage if the battle gets too heated and he needs to retreat temporarily. Hulk has incredible regeneration, able to regrow organs at 7% capability http://i.imgur.com/9vsUH5p.jpg and will not get weaker as the fight goes on. Superman has heat vision strong enough to hurt Hulk http://i.imgur.com/vgAGwlk.jpg, but Hulk has stood up to similar blasts http://i.imgur.com/DghTZa9.jpg , frost breath, and phasing. Hulk has a red lantern ring, and seeing as this is WBH he has good cause to use it. The ring gives him boosted stats and new abilities. With all this said, i'll post my story in the next comment.