A novel chaotic one-way hash function based on spatial expansion construction with controllable parameter is presented which combines with the advantages of both chaotic system and parallel hash function. In the proposed approach, the hash model of message block is determined by chaotic dynamic parameter. The new method improves the security of hash function and avoids degrading the system performance at the same time. Theoretical and experimental results show that the proposed method has high performance in parallel algorithm, nearly uniform distribution and desired diffusion and confusion properties.