Li₄Ti₅O₁₂ as anode material for high power Li⁺-ion batteries is very promising due to its unique electronic properties. However, the lack of electronic conductivity as well as the low Li⁺-ion diffusion coefficient are major drawbacks in achieving high power densities. In this work, therefore, we prepared a nano-composite consisting of vertically aligned carbon nanotube arrays decorated with in-situ grown necklace type Li₄Ti₅O₁₂ nanoparticles. Owing to this structure the electrodes exhibit outstanding rate performances with specific capacities of 110 mAh g^-1 up to 300C and cycling performance with high capacity retention of 97% after 500 cycles at 10C. Thus, the combination of short Li⁺-ion diffusion distances within Li₄Ti₅O₁₂ particles, remarkable electronic conductivity by carbon nanotubes directly grown on the current collector as well as a high contact surface area due to an open pore geometry is essential in achieving high power Li₄Ti₅O₁₂ anodes.