Abstract: This invention is directed toward a sun hat with a stiff bill and continuous, 360-degree coverage, where the bill and brim are made from the same material and contain the same multiple, parallel line stitching pattern. The stitching pattern combined with the relatively thick fabric gives the brim substantial rigidity without the need for an insert. The inside of the head band provides a uni-directionally or bi-directionally stretchable band divided into multiple horizontal sections, with each section attached to the other section(s) with reinforcing fibers such that the head band can expand to the circumferences of different head sizes, thereby giving each “size” of the hat a wider range of suitable head sizes than is found with traditional sun hats. The lack of a need for a means of size adjustment in the back of the hat allows for the brim to cover the entire neck and ear regions.