This paper analyzes the asymptotic behavior of a biologic system described by a stochastic competition model with species and resources, in which the species mortality rates are influenced by the fractional Brownian motion of extrinsic noise environment. By constructing a new Lyapunov functional, the persistence and extinction criteria are derived in the mean square sense of the considered stochastic competition biology species system. It is shown that the sufficient condition of species persistence and extinction can be obtained for the considered system. Two examples are given to illustrate the effectiveness of the theoretical results.