To investigate the formability,magnesium alloy AZ31B sheets with thickness of 0.8mm were simulated and analyzed by the finite element analysis software under different temperatures,different blank holder forces and different deep drawing speeds.During the range of 25220℃,the blank with diameter of 140mm was used to proceed drawing to investigate the influences the forming temperature,deep drawing speed and blank holder force for the formability of magnesium alloy AZ31B sheets.The results show that: the limiting drawing ratio reaches 2.8 when the forming temperature is 200℃,and under 200℃,the higher the forming temperature is,the better of the formability for magnesium alloy sheets is.It is proved that magnesium alloy AZ31B has excellent thermal deep drawing formability.Furthermore the deep drawing speed and the blank holder force have important influences on the deep-drawing process of the magnesium alloy AZ31B sheets.