A composite antenna includes: a coil element which is formed into a spiral shape, and which has a trap coil portion in a base end portion; a tubular conductive element which is electrically series-connected to a base end of the coil element; and a connection metal fitting which is electrically connected to a base end of the conductive element. A series connection of the coil element and the tubular conductive element operates in a first frequency band, and the tubular conductive element alone operates in a second frequency band which is higher than the first frequency band.