A method of small target detection in infrared image sequences is proposed based on the Fuzzy Support Vector Machine (FSVM) temporal background predication. Firstly, the pixel gray value sequences at the same position of the previous frames are fitted with function by using the FSVM optimized. The pixel gray value at the same position of the next frame is predicted by the fitted function. Then, the estimated image subtracted from the source image gives the residual image. The residual image is segmented using two-dimensional Tsallis-Havrda-Charvat’s entropy thresholding method. The real small target is confirmed by the continuity and consistency of its movement. The experimental results were given and analyzed. They were compared with those of the existing method of spatial or temporal background predication .The results show that the proposed method can precisely detect the small infrared target and it is superior to the existing method.