High rate storage of sodium ions in lithium titanate still stay unsolved, although the sodium as a medium in such materials can reduce the voltage platform and enhance the high energy density of electrochemical batteries. Herein, the composite lithium titanate/carbon nanotube materials are synthesized to improve the kinetics process by designing pathways to migrate the electrons and ions. A special micronanomaterial comprises many micropores/mesopores formed from nanoparticles of lithium titanate and slender carbon nanotubes with a natural curvature style. Thus, it significantly decreases the kinetics barriers and electrochemical impedance under the charge of a high rate. It is used as sodium-based dual-ion batteries and displays the excellent electrochemical performance, such as a wide voltage window (about 1− 4.6 V), a long cycling stability (∼148 mAh g −1 after 500 cycles), and an outstanding rate capability (∼102 mAh g −1 at 20 C). Our works demonstrate that a high rate capability may be enabled by a facile design of dual-ion batteries, which avoid the long-term difficulty of sodium-ion batteries and present new opportunities of high-power battery devices.