An adjustable hat includes a covering and an adjustable fastener including first and second fastening elements that can releasably fasten together by snap fit connection at a plurality of discrete positions. The first fastening element defines an attachment hole adjacent to an end portion remote from the second fastening element. An elastic strap affixed to the covering extends through the attachment hole and loops around the end portion of the first fastening element to connect the first fastening element to the covering such that the elastic strap permits the entire first fastening element to move relative to the covering by elastic elongation of the elastic strap. The hat can be free of stitching which passes through any portion of the first fastening element. The first fastening element can be male or female. Moreover, both fastening elements can be elastically connected to the covering via respective attachment holes and elastic straps.