I travel to the US for business. Someone can verify me here..

The correct way is not 'on business' but 'for business' but also you need to include the word 'the' so first statement is correct. - Here is the correct way of writing or saying this phrase. - I travel to the U.S. for business. - Oh and you should only use capitol letters where required not the whole question.

Both of these are awkward. There needs to be something added to help identify the tense. Of the two options presented, the one that is better is: "I travel to the U.S. on business." Better options: I often (or frequently) travel to the U.S. for business. I have traveled to the U.S. on business. I will be traveling to the U.S. for business. I hope this is helpful. I've amended my answer to change the phrase "on business" to "for business" for the present and future tenses. "On business" is generally only proper usage for the past tense.

i traveled to the u.s. on business

"...to THE U.S. ..." The issue is "strong" versus "weak" proper names, the latter requires a preceding definite article ("the"). From this article - http://itre.cis.upenn.edu/~myl/languagelog/archives/004861.html The matter is not trivial or straightforward. As noted in The Cambridge Grammar of the English Language, pp. 517ff, there are a number of countries that have two different ways of being referred to, strong and weak, the weak forms being a bit more common in Britain and tending to be replaced by the strong forms: strong (no article) --- weak (with article) Argentina --- the Argentine Ukraine --- the Ukraine Yemen --- the Yemen Lebanon --- the Lebanon Holland --- the Netherlands There are some generalizations, but also many exceptions. Cities, boroughs, and regions are usually strong (like Amsterdam or New York or North Africa or Antarctica) but a few are weak (like the Hague or the Bronx or the Maghreb or the Antarctic). And remarkably, to a rough approximation at least, numerical freeway names are weak proper names in Southern California ("Get on the 55") but strong proper names in Northern California ("Take 17 South").