The invention relates to a magnesium alloy continuous extrusion die, and the continuous extrusion die is formed by assembling and fixing a left half die and a right half die together and forming a direct extrusion channel, a plurality of divergent extrusion channels, a plurality of forming channels, change channel angles and equal channel angles. The diameters of the divergent extrusion channels are the same, the sum of the diameters of the divergent extrusion channels is equal to the diameter of the direct extrusion channel, 90-degree rotation angles between the divergent extrusion channels and the direct extrusion channel are the change channel angles, the diameters of the forming channels which are communicated with the divergent extrusion channels are the same, and the 90-degree rotation angles between the forming channels and the divergent extrusion channels are the equal channel angles. The magnesium alloy continuous extrusion die can improve the industrial production efficiency of magnesium alloy deformation and extrusion through continuous extrusion.