The invention discloses an image interpolation method based on non-local geometrical similarities. Compared with the prior art, the method comprises steps of firstly expanding statistical characteristics required in an interpolation module to the whole image interior from local regions of the image; introducing an improved European type distance to measure geometrical similarities among all image blocks in the image interior; searching similar image blocks to construct the interpolation module via the two-step searching method; and meanwhile, applying central points of all similar image blocks for constructing the interpolation module into the interpolation module to optimize generated interpolation factors. Thus, the constructed interpolation algorithm is quite excellent in effects and quite highly stable.