In order to apply Fourier telescopy (FT) to the detection of synchronous geostationary orbit and low-earth orbit motion satellite and fulfill high-resolution imaging, a new method is proposed based on non-uniform sampling technology to achieve low sampling frequency for the high frequency information processing. Non-uniform sampling is made for the time domain returned signal into digital signal and the non-uniform discrete Fourier transform (NUDFT) is used. Amplitude damping is done to all the signals except the low-frequency signal and then the low frequency component information can be accurately extracted by the use of NUDFT. Amplitude damping and NUDFT are repeated until all the frequency information is extracted. The target can be constructed with phase closure techniques and traditional reconstruction method. This method reduces the sampling frequency, overcomes the spectral noise of the NUDFT method and avoids the influence of high-frequency noise on the imaging quality. It has bright application prospect, especially in low orbit multi-beam Fourier telescope imaging area. The feasibility of the method is verified by numerical simulation. Comparative researches are done for reconstruction image with the traditional uniform sampling result under different signal-to-noise ratios (SNRs). The method is consistent on the noise sensitivity with traditional methods.