The escape time algorithm is an important method in generating Mandelbrot set and Julia set fractal images.Method of generating fractal images using escape time algorithm is discussed.Firstly,the properties of escape time algorithm are analyzed.Secondly,the method based on area transaction is put forward to avoid the shortages that the existed methods are not good enough for time efficiency.The results show that the new algorithm is generality and healthy.Furthermore,the boundary of M-J set can be generated by using of new algorithm.