Multilayered shape-memory composites composed of multiwalled carbon nanotube (MWCNT)-filled thermoplastic polyurethane (TPU) (denoted as cTPU) and polycaprolactone (PCL) were prepared through layer-multiplying coextrusion. The phase interfaces and conductive pathways in the multilayered structure which can be tailored by layer-multiplying endowed the materials with tunable thermo- and electro-responsive shapememory effects (TSME and ESME). Compared with the conventional blending composite having the same compositions, the cTPU/PCL multilayered system with high phase continuity and abundantly continuous interfaces exhibited better TSME, which could be further enhanced with increasing the layer number. It was revealed that the strain energy stored in cTPU layers would be balanced by adjacent PCL layers via interfacial shearing effect so that each domain could endow the maximum contribution to the shape-memory performance. Besides, the confined layer space allowed for a more compact connection between the MWCNTs than in the blending composite, while the original conductive network formed in cTPU tended to be gradually broken up during layer multiplying. Moreover, an excessive conductivity may induce local overheating and even the melting of permanent domains, leading to undesired deformation. Accordingly, the multilayered composite with a proper layer number which exhibited suitable conductivity and efficient TSME achieved balanced ESME with quick recovery speed, excellent recovery ratio, and good appearance retention. This work opened an avenue in preparing outstanding shape-memory materials with both thermal and electrical actuations, which showed great potential in applications of sensors, actuators, self-deployable devices, and so forth.