Sorry...first answer was a weird cross posting from another question. Odd.
Dylan Thomas' impact on poety, regardless of geography, dealt mainly with the fact that his style played against strict verse forms and transformed them. He used 'sprung verse' which seems to be something that is endemic to the Welsh poets (though others would use it later on) and this contributed to an internal rhythm and rhyme. While some have argued that his style is too stymied and narrow, too extravagant with its words, it should be noted that while this may be true, the general public found him accessible and understandable.