In this paper, the influences of the environmental memory effect, Dzyaloshinskii-Moriya interaction, and non-uniform magnetic field on the quantum entanglement of Heisenberg XXZ spin chain are investigated by using the non-Markov quantum state diffusion method. It is found that the smaller the value of the environmental memory effect is, the longer the environmental memory time is, the stronger the non-Markov nature in the environment is, and the longer the survival time of quantum entanglement is. In addition, it is also found that the quantum entanglement of the system can be controlled by adjusting the Dzyaloshinskii-Moriya interaction and uniformity of magnetic field, so that the system maintains good entanglement characteristics.