The　design　of　electrodes　with　excellent　mechanical　elasticity　is　the　significant　to　developing　flexible　electronic　devices　with　mechanical　endurance　and　outstanding　lithium　storage　properties.　Herein,　the　flexible　FeCo/carbon　hybrid　nanofiber　membranes　(named　as　FeCo@CNFM)　were　successfully　prepared　via　electrospinning　and　subsequent　carbonization　process.　From　the　macroscopic　perspective,　the　FeCo@CNFM　can　bend　at　a　large　angle　without　any　destruction,　and　be　directly　used　as　working　electrode　of　lithium　ions　batteries　(LIBs)　without　any　expensive　additives,　demonstrating　its　extraordinary　mechanical　flexibility.　From　the　microscopic　perspective,　the　homogeneously　dispersed　fine　FeCo　nanoparticles　and　the　three-dimensional　(3D)　interconnected　transport　network　constructed　of　carbon　nanofibers　significantly　shorten　the　lithium-ion　transfer　distance,　eliminate　the　volume　fluctuation　during　lithiation/delithiation　process,　enhance　the　utilization　rate　of　active　materials,　and　promote　the　electrical　conductivity　of　the　composite　electrode,　thus　leading　to　remarkably　improved　electrochemical　properties.　As　a　consequence,　the　optimized　FeCo@CNFM　manifests　a　superior　discharge　capacity　of　584.9　mA　h　g-　1　at　100　mA　g-　1　after　100　cycles　with　long　cycling　stability　and　good　rate　capability　of　227.1　mA　h　g-　1　even　at　a　large　current　rate　of　2　A　g-　1,　making　it　a　promising　flexible　self-supporting　anode　for　LIBs.