A　highly　flexible　and　continuous　fibrous　thermoelectric　(TE)　module　with　high-performance　has　been　fabricated　based　on　an　ultra-long　single-walled　carbon　nanotube　fiber,　which　effectively　avoids　the　drawbacks　of　traditional　inorganic　TE　based　modules.　The　maximum　output　power　density　of　a　1-cm　long　fibrous　TE　module　with　8　p-n　pairs　can　reach　to　3436　mu　W　cm(-2),　the　power　per　unit　weight　to　2034　mu　W　g(-1),　at　a　steady-state　temperature　difference　of　50　K.　The　continuous　fibrous　TE　module　is　used　to　detect　temperature　change　of　a　single　point,　which　exhibits　a　good　responsiveness　and　excellent　stability.　Because　of　its　adjustability　in　length,　the　flexible　fibrous　TE　module　can　satisfy　the　transformation　of　the　temperature　difference　between　two　distant　heat　sources　into　electrical　energy.　Based　on　the　signal　of　the　as-fabricated　TE　module,　a　multi-region　recognizer　has　been　designed　and　demonstrated.　The　highly　flexible　and　continuous　fibrous　TE　module　with　excellent　performance　shows　a　great　potential　in　diversified　applications　of　TE　generation,　temperature　detection,　and　position　identification.