In this present paper,we study the entanglement dynamics in qubit A-qutrit B pair under x component of Dzyaloshinshkii-Moriya interaction（D_x） by taking an auxiliary qubit C.Here,we consider an entangled qubit-qutrit pair initially prepared in two parameter qubit-qutrit states and one auxiliary qubit prepared in pure state interacts with the qutrit of the pair through DM interaction.We trace away the auxiliary qubit and calculate the reduced dynamics in qubit A-qutrit B pair to study the influence of the state of auxiliary qubit C and D_x on entanglement.We find that the state（probability amplitude） of auxiliary qubit does not influence the entanglement,only D_x influences the same.The phenomenon of entanglement sudden death（ESD） induced by D_x has also been observed.We also present the affected and unaffected two parameter qubit-qutrit states by D_x.