The invention relates to a rare-earth magnesium alloy seamless thin wall tubule hot-extrusion method and its specialized mold. The method includes: machine-tooling after casting ingot homogenization treatment into a hollow blank, performing pre-extrusion in the mold, extrusion molding after die change, and performing solid dissolving aging treatment for further improving the tube dynamics performance. The invention relates to a special mold, including an upper and a lower die holders, a thermal insulation sleeve, a squeezing barrel, a male die and a concave die, wherein, the concave die is composed of a pre-extrusion concave die and a shaping concave die, one of the pre-extrusion concave die and the shaping concave die is selected and interchangeable with the other, and is fixed on the lower die holder through a squeezing barrel. The invention can extrude a rare-earth magnesium alloy seamless thin wall tubule with the external diameter of 5-10mm and internal diameter of 4-8mm, which has features of high material utilization, small extruding force, high products dimensional precision, good surface accuracy, good dynamics performance and the like features. The inventive mold simultaneously has advantages of simple structure, easy operation, low cost, long life and so on.