A non-adaptive space-time clutter canceller (NSCC) for multi-channel (MC) synthetic aperture radar (SAR) was proposed. First, a new three-part range equation was derived on the basis of the two-dimensional Taylor series expansion. Then, each part of the model was analysed. By compensating of the high-order coupling part and the compression of the Doppler extension part of the derived equation, the interlaced signal of a moving target and a clutter patch was easily separated in a space-time domain. The clutter signal in different pulses only contained a constant phase difference. Using radar parameters, the authors constructed a non-adaptive clutter canceller that prevented traditional space time adaptive processing (STAP) issues, such as secondary sample support, computational complexity burden, and unknown moving target information. Compared with the representative non-adaptive method, that is displaced phase centre antenna (DPCA), NSCC is robust to a small degree of parameter error. It can be applied when DPCA condition is not satisfied. The effectiveness of the proposed method was validations through simulation.