The present invention relates to a high pressure resistant gas cylinder with shape memory sleeve and its making method. It is characterized by that a sleeve made up by using iron base shape memory alloy is cover-mounted on the exterior of gas cylinder body, and the preparation process of said sleeve includes the following steps: firstly, high-temp. solutionizing, low-temp. hole-expanding deformation, medium-temp. annealing shape-restoring, secondary low-temp hole expanding deformation, then the hole-expanded and deformed shape memory alloy sleeve is slip-covered on the exterior of gas cylinder required according to design, then heating the shape memory alloy and making it be contracted and fastened so as to obtain the invented prdouct, its cylinder weight coefficient can be reduced to 0.5 kg/l and its maximum loaded pressure is 40 MPa. |