In order to improve the encryption performance of the image and achieve higher-performance image secure transmission and storage, based on the traditional image scrambling and diffusion algorithm, a hyper-chaotic image encryption algorithm with image bit permutation is proposed. The newly constructed four-dimensional hyperchaotic system is used to scramble the bit-decomposed image to generate an intermediate ciphertext image, and then perform diffusion to obtain the final ciphertext image. The use of bit decomposition and hyperchaotic encryption enhances the pseudo-randomness of the key stream and encrypted image. Simulation experiments show that the image encrypted by this algorithm has better distribution characteristics, the algorithm can not only resist statistical analysis and differential attacks, but also has a large key space and better initial value sensitivity.