The Euclidean action is calculated in the thin-wall approximation for
a first-order vacuum phase transition in which the bubble appears symm
etrically around either a global monopole or a gauge cosmic string. Th
e bubble is assumed to be much larger than the core size of the monopo
le or string. In both cases the value of the Euclidean action is shown
to be reduced below the O(4) symmetric action value, indicating that
the topological defects act as effective nucleation sites for vacuum d
ecay.