This guy writes exactly what I'm thinking...
I'm not going to take that kind of time though.
http://wiki.answers.com/Q/Can_any_one_of_tha_hulks_beat_Superman_in_a_fightIn virtually all cross overs, Superman always wins because he's the more popular character among comic goers, so poor Hulk always gets outvoted by the comic book nerd community. While the Hulk's strength at full rage has remained relatively consistent throughout the character's history, Superman has shifted, from the original Siegel and Shuster vision where he couldn't even fly, to the most powerful incarnation, the Silver Age version, and then back to the golden age level again which is stronger than the 1980's and late 90's Warner Bros cartoon one, and roughly half as strong as the silver age one. It takes two modern era Supermen, to equal the strength of one silver age one; the Silver age Superman was so powerful, he could literally hurl planets. In an official D.C. encyclopedia, to stop a dangerous DC villain, he destroyed an entire unpopulated star system, including the star. At that point, Superman fans said "okay, that's just ridiculous; he needs a revision." The character Superman Prime is almost as powerful raw strength and heat vision potency wise, but more powerful in the sense that he has no weakness for Kryptonite, plus the Oan (green lantern) energy he absorbed from one of the guardians, makes it so that he has an internal "power cell" battery of solar energy, meaning......... he can go wherever he pleases in the universe without losing power. The only reason such ridiculous power is tolerated by fans, is because he's a bad guy, and because he is not as strong as the Silver Age Superman. For the sake of keeping the character's reputation "clean," a villain superman will never be made as powerful as a good guy superman by DC. You don't have to take my word for it; buy the official, latest DC comics encyclopedia from Amazon. Just google it it will take you to the link; although the main superman will remain golden age, there will always be a superman on some other parallel earth somewhere, as powerful as the silver age one. Rest easy; Prime is certainly a deranged, psycho version of Superman but he's not the most powerful, that title still belongs to the ridiculously powerful Silver Age one.
Back to your question; how Superman wins always varies. The golden age one, never fought the Hulk, because back then Marvel didn't even exist yet, and when it did come into the scene, the companies were not interested in doing cross overs for a while. However because both businesses tend to be equally popular with comic book crowds, that is, a true comic book nerd will buy from both companies, they realized, that doing cross overs would not hurt their profits if anything it would actually boost them. Naturally the most burning question of comic book fans was the Superman vs Hulk thing; although not as famous, The Incredible Hulk has become a modern mythic icon for raw physical power. You say the words "The Hulk" and people immediately think of raw physical strength. The character has even become a part of the English language;
"That Hulking steroid brute," etc, etc, etc.
Again let me reemphasize; Superman has never been known to lose, but that is largely a popularity contest. You are probably asking your question based on what each character can do, so, to answer directly, not based on a popularity thing, The Hulk would win, especially if in a rage. Why the Hulk? All Superman needs to do to beat the Hulk is lobotomize him with his heat vision, problem is, Superman is entirely too soft hearted to do that. In comic book plots, especially Superman comics, elements of real life are often borrowed. In the real world, it is not always a question of ability, but willingness. See, that is Superman's problem; the character, can crush Lex Luthor any time he wishes, Lex Luthor's raw brain power and all. See though Superman is not as cold blooded and ruthless as Luthor, like I said, he's a soft hearted Kansas farmboy. Frankly? If Superman did exist he BETTER grow up in a Kansas farm; God help us if he grew up in New York or Los Angeles with all those sadistic skanks. In large cities, because women are stupid and materialistic, not knowing who he is, they would treat Superman like crap as he was Clark Kent. No telling what anger issues might result from years of that, not to mention all cowardly dudes that inhabit America's large cities.
Moving back to your question; not basing this opinion on popularity contests, basing it strictly on how the characters were made by their respective companies, even though I like Superman personally, the current Superman would lose against the Hulk. Without his heat vision, there is no way he can win, his unwillingness to use it, would result in the Hulk basically beating him into a coma. Yes, any of the Hulks could beat him, provided they were fully enraged; anything lower than the Green or Red Hulk though no way.
In the first Superman vs Hulk fight, the Hulk was up against the Silver Age Superman, who took a direct blow from the Hulk, which would have sent a tank flying a good 1,000 feet, without so much as wincing. Like I said; Silver Age Superman, was RIDICULOUSLY powerful. NO ONE in the Marvel Universe outside cosmic beings can take a direct blow from the Hulk! Even any of Galactus' heralds will become severely injured from a direct blow like that. Like I said; with Silver Age Supes it was just plain ridiculous. Next, came the Byrne revision era Superman, who had to resort to gadgets and weakening the Hulk to bring him down, he was too weak and pathetic to do it with his own power, from what I recall, although don't quote me on that, you will have search in the Encyclopedia yourself.
The current golden age levels one, does frequently beat the Hulk, but its always a hard fought fight, and although Superman is the one left standing, and with Bruce Banner unconscious on the ground, he is almost always bloodied, has several fractures, and needs to rest for a whole month before he gets back in action. Silver Age Superman could take on Thor, the Hulk, and Juggernaut on his own; no way in hell, can the current Superman get away with that. I mention Thor, Hulk and Juggernaut because, easily, those are Marvel's heaviest hitters outside cosmic characters.
In the end, it depends, but, since you are concerned with the current Superman no doubt, sorry, eliminating popularity from the picture, and considering what each character can do, unless Superman was completely ruthless, and willing to use his heat vision, the fight would go to the Hulk. The current age Superman's heat vision is so intense, it can slice off the Hulk's head okay? But, like I said, America's (and possibly the world's) most beloved and iconic superhero, just doesn't have it in him to do that.
