Abstract: Quantum image scrambling is a typical problem of quantum image processing. At present, in the vast majority of literature at home and abroad, scrambling schemes are based on the position of the pixels, which can make the image no longer contain any visual information by changing the spatial position of the pixels. However, it does not change the statistical characteristics of the pixel gray value, so as to reduce the security of scrambling scheme. To address this problem, first, this paper proposes a new method of scrambling position of pixels based on the improved FRQI, and then, based on the improved NEQR, two methods of scrambling color of pixels are proposed. These methods either significantly enhance the position scrambling effect, or significantly change the statistical characteristics of the pixel gray value. The effectiveness of the proposed method is verified by the simulation results on a classical computer.