From Longman Dictionary of Contemporary Englishhatbandhat‧band /ˈhætbænd/ noun [countable] DFCa band of cloth or leather fastened around a hat as a decoration
Examples from the Corpus
hatband• This was wide-brimmed, dark brown, with a beige hatband.• He plucked his hat from his head and extracted a key from the hatband.• Sandison bought a very fine pale grey hat with a wide, flat brim and a white hatband. 