The dynamic snap-through behavior of isotropic shallow shells under thermal shock loading was studied in the present work.The transient heat conduction through the thickness of shell was analyzed first;the thermally induced membrane forces and bending moments were also derived.The classical shell theory was adopted to model the shell and the derived equations of motion accounts for the Karman's geo-metrically nonlinear strain.The equations of motion were then transformed into coupled time-dependent nonlinear algebraic equations via the Ritz method,and the latter was numerically solved with the Newmark method and Newton-Raphson's iterative method.The critical thermal shock condition for the occurrence of dynamic snap-through was identified by the Budiansky-Hutchinson criterion while the computational re-sults were analyzed.It was demonstrated that dynamic snap-through occurs in the shallow shell subjected to strong enough thermal shock,and thermally induced vibration exists during the whole snap-through process.The modeling and analysis methods provided by this study have important reference value for ac-curately evaluating the stability and dynamic response of engineering shallow shells under thermal shock.