In quantum entanglement, the evolution of states is a unitary evolution process, and local unitary transformation does not change the system entanglement properties. A local unitary transformation method is proposed based on Hadamard transform. The four particle maximum entangled states proposed by Yeo and Chua and six particle entangled states proposed by Borras et al. are transformed into four and six particle entangled states in simple form with exactly the same entanglement properties, which provides a theoretical basis for the relization of preparation and application. These entangled states have simpler expressions and special entanglement properties, and they have a potential application prospects in quantum teleportation, quantum dense coding, quantum secure direct communication and so on.