Abstract: The phenomenon of coherence resonance (CR) in the coupled FitzHugh-Nagumo (FHN) neuronmodels driven by the colored noise is investigated. Based on the method of forth steps stochastic Runge-Kuttamethods, the interval-spike-interval (ISI) of the neuron firing and the coefficient of variation (CV) have beenobtained. It is shown that the CV is a non-monotonic function of the correlation of colored noise, the intensity ofcolored noise, and the coupling numbers. Furthermore, by choosing the appropriate the correlation of colored noise,the intensity of colored noise, and the coupling numbers, the minimum of the CV can be attained, the phenomenonof coherence resonance can occur. Meanwhile, the effects of the correlation of colored noise, the intensity ofcolored noise, and the coupling numbers on coherence resonance are discussed.