Disclosed is a headwear which is mainly made of non-stretchable fiber. The headwear comprises a head receiving portion including a first stretchable fabric made of high twist yarn and a sweat band peripherally attached to the inside of the head receiving portion. Since the head receiving portion is mainly made of high twist yarn, the headwear has a fixed peripheral size but is adjustable within a predetermined range corresponding to small changes of head size. Also, the headwear can fit the head size to provide a comfortable sense of wearing.