The stability of the TF and CS cable-in-conduit conductors for the International Thermonuclear Experimental Reactor (ITER) has been analyzed with the code Gandalf. The energy margins, computed for a number of disturbance scenarios, are in the order of some 100mJ/ccst, well above the expected disturbances. A detailed convergence study is shown to be essential not only in principle but also in practice, e.g. dual stability was found in some cases, but disappeared when the integration time step was refined.