Secure multi-party sorting is one of the most important core issues in secure multi-party computing to protect user privacy. A secure multi-party quantum sorting protocol based on the semi-honest model is proposed to solve the problem of low security and eavesdropping of traditional multi-party sorting. In this protocol, each party participates in the calculation based on the sum of quantum Fourier transform and obtains the rank on the basis that the secret values are not leaked. Through the quantum computing simulator provided by IBM, correctness of the protocol is verified experimentally and security of the protocol is analyzed theoretically. The protocol not only provides a new idea for the existing quantum sorting, but also gives consideration to fairness, validity and security.