The　combination　of　biometrics　and　cryptography　gains　a　lot　of　attention　from　both　academic　and　industry　community.　The　noisy　biometric　measurement　makes　traditional　identity　based　cryptosystems　unusable.　Also　the　extraction　of　key　from　biometric　information　is　difficult.　In　this　paper,　we　propose　an　efficient　biometric　identity　based　signature　scheme　(Bio-IBS)　that　makes　use　of　fuzzy　extractor　to　generate　the　key　from　a　biometric　data　of　user.　The　component　fuzzy　extraction　is　based　on　error　correction　code.　We　also　prove　that　the　security　of　suggested　scheme　is　reduced　to　computational　Diffie-Hellman　(CDH)　assumption　instead　of　other　strong　assumptions.　Meanwhile,　the　comparison　with　existing　schemes　shows　that　efficiency　of　the　system　is　enhanced.