Aimed at the problems that the universal phenomenon exists in longrange correlation and the spectrum of power law exists in brain science, this paper establishes a class of stochastic nonlinear model, and explores the stochastic resonance effect of fractional Gaussian noise in nonlinear neurons model. In addition, the paper also proves a sufficient condition for subthreshold stochastic resonance in cerebral neuronal ion channel with fractional Gaussian noise (fGn), and so long as the stochastic dynamics satisfing Lipschitz conditions, can somewhat noise intensity guarantee occurrence of subthreshold stochastic resonance (SR). The theoretical and the numerical results show that the fGn can produce maximum value in information capacity of a general discontinuous 0-1 output for nonlinear neural system, and presents unimodal state, producing SR or SSR phenomenon related to the Hurst parameter. The capacity of transmit information of neuron is verified.