Here are disclosed disposable garments such as diaper and training pants and a method for attachment of threadlike continuous elastic members (each comprising a plurality of threadlike elastic elements) around leg-holes thereof so that the elastic members are progressively widened from their longitudinally opposite ends toward their longitudinally middle portions, respectively.The threadlike continuous elastic members 4A, 4B thus attached to the article around the respective leg-holes each comprises rubber threads 4a,4b, 4c. The traverse arrangement support these rubber threads in parallel to one another and forcibly guide them in sine curves with respect to the continuous web 7 so that the portions 4A.sub.1, 4B.sub.1 of the elastic members 4A, 4B to be bonded to the continuous web are bonded thereto. Then, the non-bonded portions 4A2, 4B2 of the elastic members are cut together with the web 7 along boundaries of the individual articles and thereupon contract under their own stretch stresses.