Abstract: In order to solve the problems that the deformed magnesium alloy sheet is prone to cracking and occurring insufficient drawing depth, the AZ31 magnesium alloy cylinder was selected as the simulation research object.Using the excellent reversibility and controllability of magnetorheological elastomer (MRE), it was built into the die, and a support die was designed in combination with return springs, etc.Taking the thinning rate and the deep drawing limit as the indicators, the influence of the magnetorheological elastomer support on the deep drawing performance of the sheet was discussed.The results show that the built-in support die can improve the material flow during the deep drawing and forming process.Compared with those of no magneto-rheological elastomer support, the magneto-induced normal force is large when the incoming current is larger, and the built-in support die mainly plays a supporting role.At this time, the maximum thinning rate is reduced by 6.96%, and the forming limit depth reaches 6.4 mm with an increase of 10.34%.When the incoming current is small, the magneto-induced normal force is small, and the built-in support die mainly acts as a buffer.At this time, the maximum thinning rate is reduced by 7.22%, and the forming limit depth reaches 6.6 mm with an increase of 13.79%, which greatly improves the magnesium alloy utilization.