We discuss the existence condition for the complete recurrence sampling value of m-sequences. It is proved that for m-sequences of order n，the sufficient and necessary conditions that the complete recurrence sampling value exists are that the quotient group G=Z_p^*/H(p=2ⁿ - 1，Z_p^*={s|(s, p)= l}, H =1,2,2²，…，2^n-1)is cylcic group，and that the number of the complete recurrence sampling values is n?φ(φ(2ⁿ-1)/n). In the end，we give some important characteristics of the complete recurrence sampling of m-se-quences