Abstract: This paper proposes the concepts of multi-dimensional co-correlation coefficients and density of co-correlation coefficients between pixels of remotly sensed multi-spectral image.The applications of these concepts to simulative images show that the edge information can be extracted.The minimum co-correlation coefficients and the difference of them can provide evidently the information of the position and strength of edges,which implies that the analysis with co-correlation coefficients can be used for edge extraction of multi-spectral image. The further experiments have been performed using TM images.The different results with different value ranges of minimum co-correlation coefficients and the difference of them indicate that we should select the rational threshold of co-correlation coefficients for edge extractions.Finally the paper concludes that the analysis with co-correlation coefficients for edge extraction of remotely sensed multi-spectral images is quite effective.