The invention belongs to the field of infrared image processing, and mainly relates to an infrared weak and small target detection method based on time-space domain background suppression. The infrared weak and small target detection method is used for achieving the aim of infrared movement weak and small target detection in a complicated background and includes the steps that firstly, stable background noise waves in a space domain are suppressed through guiding filtering; secondly, slowly-changed backgrounds in a time domain are suppressed with a gradient weight filtering method on the time domain through target movement information in an infrared image sequence; thirdly, the time domain background suppression result and the space domain background suppression result are fused to obtain a background-suppressed weak and small target image; finally, the image is split through a self-adaptation threshold value, and a weak and small target is detected. By means of the infrared weak and small target detection method, during target detection, space grey information of the infrared weak and small target is used, time domain movement information of the target is further sufficiently used, the background noise waves are suppressed in the time domain and the space domain, and therefore the movement weak and small target detection performance in the complex background is greatly improved.