Abstract: The improved fit cap of the present intention fit wearers within a predetermined range of hat sizes. The improved fit cap has a crown member and a brim extending from a front portion. A sweat band having a bottom edge, and a top edge is attached along its lower edge to an interior surface of the crown member. When attached to the crown member, the bottom edge of the sweat band is of a larger circumference than the circumference of the top edge of the sweat band. Furthermore, the sweat band is composed of an unidirectionally stretchable fabric aligned to stretch only along an axis perpendicular to the top and bottom edges of the sweat band.