Transition metal selenides (TMSes) are regarded as ideal anode materials for lithium-ion batteries (LIBs) due to their high theoretical capacity, but some defects, such as volume expansion and poor conductivity, still need to be overcome. The design of hierarchical structural materials with compositional and structural complexity is extremely attractive in the field of energy conversion. Herein, a core-shell hierarchical polyhedral Co 3 Se 4 with N-doped and carbon nanotubes intertwined (N-Co 3 Se 4 @C-CNTs) is synthesized using a facile metalorganic framework (MOFs) self-templating strategy and selenization treatment. The Co 3 Se 4 nanoparticles can be confined in the multilocular and hollow carbon framework intertwined with CNTs. Benefiting from the unique structure and composition superiority, the synthesized N-Co 3 Se 4 @C-CNTs exhibit excellent Li storage performance. Specifically, they present a high reversible capacity of 820 mAh g À1 at 0.1 A g À1 after 100 cycles and outstanding cycling stability (558 mAh g À1 at 2 A g À1 after 1000 cycles). In addition, a LiCoO 2 ‖N-Co 3 Se 4 @C-CNT full cell is successfully constructed to show its potential for practical application. The reaction kinetics and Li storage mechanisms of the N-Co 3 Se 4 @C-CNT electrode are investigated to explain the impressive electrochemical performance. This work reveals the great application potential of the N-Co 3 Se 4 @C-CNT electrode in constructing advanced LIBs.