  We examine the separability of the Nambu-Goto equation for test strings in a
shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In
particular, for a `{\it Hopf loop}\rq string which is a special class of the
toroidal spiral strings, we show the complete separation of variables occurs in
two cases, Kerr background and Kerr-AdS background with equal angular momenta.
We also obtain the dynamical solution for the Hopf loop around a black hole and
for the general toroidal spiral in Minkowski background.
