The nonlinear response of small-world biological nerve network in the Hodgkin-Huxley model in the absence of external periodic signal is studied. Simulation results show the ordered degree of spike sequence may reach a maximum when the strength of noise is a certain limited value. Namely, coherence resonance phenomenon is produced in small-world biology nerve network. The number of minima of coherence resonance coefficient cv is more than one. This indicates that coherence resonance may occur in different scales of networks.