In this work, ultrathin mesoporous CuCo2O4 nanosheets (CCO NSs) have been in-situ grown on carbon textiles (CTs) via a facile hydrothermal method and a post annealed treatment. This composite can be directly used as flexible cathodes for bendable nonaqueous lithium-air batteries. Benefitting from the unique architecture and material superiority, the coin-type batteries show large specific capacity of 11793 mAh g(-1) with small potential gap of 0.95 V and exhibit considerable cycle stability for over 65 times without obviously degradation. This structural feature not only provides high surface area and large open spaces but also ensures efficient transmission for lithium ion and oxygen and fast transporting of electrons. Furthermore, bendable lithium-air batteries have been assembled and cycle for over 46 times, which confirms its application in foldable devices. (c) 2017 The Electrochemical Society.