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Chaotic sequence has a pseudo-random ergodic,which is extremely sensitive to initial conditions as well as with the statistical properties of white noise characteristics.This paper use the characteristics of the improved algorithm Logistic chaotic map chaotic sequence generated by these characteristics,making airspace pixels for digital image and scrambling for position, and then getting the scrambling image sequence according to a certain method or process which is encrypted exclusive image. Experiments on image vertical, horizontal, diagonal, randomly selecting pixel,using the gray value, image pixel number, and calculating mathematical expectation,variance, covariance, correlation coefficient. Results showing that:the proposed algorithm disrupts the correlation between the image pixels,which made the encrypted image can resist plaintext attack statistics, and the key space is large with a fast operation speed, also with a very good effect of encryption.