A sun hat includes a main body, a curve visor, two supporting members, and a pair of eyeglasses; the supporting members each have a holding portion, and a folded fixing portion extending from one end of the holding portion; the holding portions have tooth-shaped protrusions on an inner side; the supporting members are secured to the visor with two opposed parts of the folded fixing portions being tightly pressed on two sides of the visor; the eyeglasses have a sleeve part on each of two ends thereof, which has outer tooth-shaped protrusions; the eyeglasses are supported on the supporting members with the sleeve parts being held in the holding portions, and with the tooth-shaped protrusions of the sleeve parts engaging the tooth-shaped protrusions of the holding portions such that the eyeglasses can be pivoted from an in-use position to a not-in-use one, and adjusted in position.