Graphene, Ag NWs and various other materials are conventionally used as flexible electrodes, but these materials have poor bending durability under rather extreme and harsh bending condition. In this study, we fabricated CNT/cellulose hybrid films with superb electrical and mechanical properties to extent that they can be called "foldable". The hybrid film was characterized using various techniques including FT-IR, TGA, Raman, and contact angle measurment. SEM and TEM were also performed to examine the morphology and microstructure of the films. These foldable electronic conductors exhibit high conductivity above 15 S/cm that is retained even after 100,000 bending cycles. The deduction of resistance is less than 5% even after extreme and continuous bending cycles while resistances of other flexible electrodes including graphene and silver nanowires were changed by more than an order of magnitude under same experimental condition. Furthermore, negligible change in resistance was observed even after folding. The reason for such high mechanical stability is analyzed further using sheet resistance mapping technique. Furthermore, the stability of the film against moisture was also tested by submerging the hybrid film in water completely. These foldable conductors can be applied in various applications such as flexible wearable devices to foldable electronics.