The present invention provides acidic fibroblast growth factor (aFGF) composition, comprising: (i) aFGF of SEQ ID NO: 1, (ii) aFGF of SEQ ID NO: 1 having an N-terminal phosphogluconoylation, (iii) aFGF of SEQ ID NO: 1 having an N-terminal gluconoylation, (iv) aFGF of SEQ ID NO: 2 and (v) aFGF of SEQ ID NO: 3, or a combination thereof. Also provided is a modified acidic fibroblast growth factor (aFGF) which has an N-terminal phosphogluconoylation or gluconoylation.