The invention relates to an FFT (Fast Fourier Transform) radix-2-4-8 mixed-radix butterfly operator which comprises a radix-2 unit, a radix-4 unit and a radix-8 unit. The radix-8 unit comprises a prefix operation unit, which is mainly formed by connecting a first complex number adding device with a real operation unit, and the radix-4 unit; the prefix operation unit is connected with the radix-4 unit by a first register; the radix-8 unit, the radix-4 unit and the radix-2 unit are connected in parallel to form a production line architecture. The FFT radix-2-4-8 mixed-radix butterfly operator has the beneficial effects that relative to a complete radix-8 butterfly operator, the FFT radix-2-4-8 mixed-radix butterfly operator is low in resource cost, is more flexible to use and meanwhile, has excellent parallelism for meeting the requirements of a high throughput system; the radix-2-4-8 mixed-radix structure enables the butterfly operator to support the sequence length of a point of an integer power of 2.