The present invention relates to a spectrum inversion detection apparatus which includes a differential correlation value computing portion, utilized to use a present and previous time axial symbols to compute differential correlation values individually corresponding to carriers; and a controlling portion, utilized to use the differential correlation values, when a spectrum inversion status flag is not at a spectrum inversion state, to compute a correlativity value of the each integer frequency displacement thereby, and when spectrum inversion status flag is at the spectrum inversion state, to determine a maximal correlativity value among all the computed correlativity values, and to decide a spectrum inversion status flag of the computed correlativity value which is determined as the maximal correlativity value thereby utilizing as a detection result signal to output.