By taking into account the nonlinear factors of the cryogenic material and the structural geometric nonlinearities, a three-dimensional shell finite element model of the liquefied natural gas (LNG)cryogenic helical corrugated tube was constructed based on the parametric model. The influence of three axial cross-sectional parameters, namely wave height, wavelength, and thickness, on the tensile properties of the cryogenic helical corrugated tube was simulated and analyzed.The variation laws of stress distribution, strain characteristics, and tensile stiffness of the cryogenic helical corrugated tube under different parameters were discussed. The simulation results show that the axial cross-sectional parameters significantly affect the tensile properties of the cryogenic helical corrugated tube. As the wave height increases, both the axial stress and strain values increase, while the tensile stiffness decreases; as the wavelength increases, both the tensile stiffness and stress increase; as the thickness increases, the tensile load and tensile stiffness that the cryogenic helical corrugated tube can withstand both increase.