Conducting supporters of purified single-walled carbon nanotubes (SWNTs) and graphene oxide (GO) were used to confine pomegranate-structured SnO2 nanospheres for forming SnO2-GO-SWNT composites. As anode material for lithium ion batteries (LIBs), this composite exhibits a stable and large reversible capacity together with an excellent rate capability. In addition, an analysis of the AC impedance spectroscopy has been used to confirm the enhanced mechanism for LIB performance. The improved electrochemical performance should be ascribed greatly to the reinforced synergistic effects between GO and SWNT networks, and their enhanced contribution of the conductivity. These results indicate that this composite has potential for utilization in high-rate and durable LIBs.