A tux (tuxedo) is a very formal outfit (somewhat like a suit) which is usually worn to some formal music concerts, recitals and dinner parties. A suit tends to be less fancy than a tuxedo and is generally worn most of the time to business functions/events and to work. I hope this helps.

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The difference isn't exist at all :) both are formal wears and the tuxedo is more formal I think

Tux is short for Tuxedo http://en.wikipedia.org/wiki/Tuxedo says: "A tuxedo (American English) or dinner suit or dinner jacket (British English) is a semi-formal evening suit distinguished primarily by satin or grosgrain facings on the jacket's lapels and buttons and a similar stripe along the outseam of the trousers. The suit is typically black (though may be midnight blue) and commonly worn with a formal shirt, shoes and other accessories, most traditionally in the form prescribed by the black tie dress code" In other words: a tux is a very specific type of suit.