Multiple-beam Fourier telescope (MFT) has a unique advantage for high-speed imaging of moving object which is small and dim in deep space, but the key technology on optics, electricity, machinery and software limite the development of MFT. The frequency shift of every laser is anslysed according to the principle of MFT and Golomb ruler, and a suitable acousto-optical device has been designed. As a result, with the help of Golomb ruler, the maximum of relative frequency shift is 7.47 MHz, under 31 lasers, the aperture of device is 8 mm, and the minimum of diffraction efficiency is 0.9021, the requirement of MTF can be satisfied with all these index. Therefore, the frequency shift technology of MTF is possible.