Nanostructured SnO2 is an attractive anode material in high-energy-density lithium-ion batteries because of the theoretical charge capacity fourfold higher than that of commercially used graphite. However, the poor capacity retention at high rates and long-term cycling has intrinsically limited applications of nanostructured SnO2 anodes due to large polarization and 300% volume change upon lithium insertion/extraction. Here we report a design of SnO2-based anode, which is constructed by embedding SnO2 nanoparticles into a seamlessly integrated 3D nanoporous/solid copper current collector (S/NP Cu/SnO2), with an aim at tackling both problems for the high-performance reversible lithium storage. As a result of the unique hybrid architecture that enhances electron transfer and rapid access of lithium ion into the particle bulk, S/NP Cu/SnO2 anode can store charge with a volumetric capacity of as high as ~3695 mA h cm-3 and an exceptional rate capability. Even the discharge rate is increased by a factor of 160 (13 A g-1), it still retains ~1178 mA h cm-3, one order of magnitude higher than that of the traditional SnO2-based electrode (~111.6 mA h cm-3), which is assembled by mixing SnO2 nanoparticles with conductive carbon black and polymeric binder and coating on flat Cu foil. In addition, not only do the rigid Cu skeleton and the stable Cu/SnO2 interface improve the microstructural stability, but also the pore channels accommodate the large SnO2 volume changes, enlisting the S/NP Cu/SnO2 anode to exhibit high specific capacity over 1000 cycles at high rate.