flat cap
A flat cap is a rounded cap with a small stiff brim in front. The hat is also known as a cabbie cap, longshoreman's cap, cloth cap, scally cap, Wigens cap, ivy cap, derby hat, golf cap, jeff cap, duffer cap, duckbill cap, driving cap, bicycle cap, Irish cap, Newsboy cap, Crook cap, Joao's hat, Sixpence, or a Paddy cap and in regional varieties: in Scotland as a bunnet, in Wales as a Dai cap, and in New Zealand, as a cheese-cutter. Cloths used to make the cap include wool, tweed, and cotton. Less common materials may include leather, linen or corduroy. The inside of the cap is commonly lined for comfort and warmth.
Not to be confused with beret, which looks similar but doesn't have a brim.
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This tag implicates hat (learn more).