Shape-memory polymers (SMPs) are stimuli-responsive materials whose shape recovery is usually stimulated by directly heating above the switching temperature. However, combination of SMPs with conductive fillers enables shape recovery by applying a voltage instead of using external heating, which may permit fabrication of smart electroactive actuators. Herein, we demonstrate that, by controlling drawing temperature and related morphology, rapid electroactive shape recovery has been realized in a ternary composite consisting of multiwalled carbon nanotubes (MWCNTs) and two biodegradable polyesters, a property that was not available in composites using only one of the polyesters.