Transition　metal　oxides　(TMOs)　with　high　capacity　have　been　extensively　studied　as　promising　anode　candidates　for　lithium-ion　batteries　(LIBs).　However,　the　intrinsic　low　electrical　conductivity,　sluggish　reaction　kinetics　and　dramatic　volume　expansion　greatly　restrict　their　practical　applications.　In　the　present　work,　we　delicate　design　and　synthesis　of　an　advanced　composite　consisting　of　multi-component　CoO/MoO2/CoMoO4　hierarchical　hollow　nanocages　anchored　on　reduced　graphene　oxide　(named　as　Co–Mo–O　NCs/rGO　composite)　with　strong　interfacial　interaction.　The　hierarchical　hollow　structure　is　beneficial　for　large　electrode/electrolyte　contact　area　and　fast　ion　diffusion.　Meanwhile,　graphene　can　provide　rapid　electron　transport　pathway　and　buffer　the　volume　change.　As　a　result,　the　Co–Mo–O　NCs/rGO　composite　exhibits　excellent　lithium　storage　performance　in　aspects　of　high　reversible　specific　capacity　(964　mA　h　g−1　at　0.1　A　g−1),　good　rate　capability　(333　mA　h　g−1　at　5　A　g−1)　and　long-term　cycling　performance　(731　mA　h　g−1　at　1　A　g−1　after　400　cycles).　Moreover,　electrode　kinetics　analysis　further　reveals　the　capacitive-controlled　lithium　ion　storage　mechanism　in　the　Co–Mo–O　NCs/rGO　composite.　The　present　work　would　demonstrate　the　importance　of　integrating　multi-component　TMOs　hierarchical　hollow　structures　and　graphene　into　one　intriguing　architecture　to　boost　the　electrochemical　performance.　©　2020