Abstract: The entanglement of two-particles Heisenberg XXZ chains with different Dzyaloshinskii-Moriya（DM） interaction is investigated.By means of negativity,the entanglement is calculated in detail as a function of the different parameter.We find that the entanglement will not be always enhanced by the increase of DM interaction.The critical temperature when entanglement disappeared varies with the different parameters J z and DM interaction.The entanglement as a function of magnetic field shows different properties for different x or z-component DM interaciton.Moreover,the entanglement can be controlled and enhanced by varying the distributions of the impurities,the strength of external magnetic field and the DM interaction.

Key words: entanglement, Heisenberg chain, Dzialoshinskii-Moriya interaction