Abstract: The dynamic buckling in single-wall carbon nanotubes subjected to impact torque loading has been investigated with a continum model. A single-wall carbon nanotube can be modeled as an elastic cylindrical shell of semi-infinite length. The dynamic buckling under impact torque is reduced to a bifurcation problem caused by the torsion stress wave propagation. The bifurcation problem can be converted to the solutions for a set of nonlinear equations. The numerical computation has been carried out, and the effects of various parameters on the dynamic buckling are discussed. It is found that a single-wall carbon nanotube has powerful resistance to impact torque, the critical shearing stress for dynamic buckling may reach up to a few hundred GPa.