Disclosed is a dual mode function pixel that operates either in a first mode or in a second mode according to the intensity of a projected light to have a high visibility regardless of the intensity of projected light. The dual mode function pixel includes: a first membrane on which a self-luminescent element is formed; one or more membranes formed to surround the first membrane; and a lower layer formed below the first membrane and the one or more membranes to be spaced apart from the first membrane and the one or more membranes. The dual mode function pixel is controlled such that the self-luminescent element is driven either to emit light in a first mode operation or to selectively reflect a projected light by utilizing an interference of light generated between the first to one or more membranes and the lower layer in a second mode operation.