The influences of noise and oscillator number on the synchronization of the network were studied through numerical simulation, by using three indicators to describe the degree of synchronous behavior, such as the mean field, the synchronization factor and the firing probability. Three indicators increase firstly and then decrease with respect to the increase of noise density, implying that coherence resonance emerges. When the coupling strength and noise density are different, three synchronous indicators decrease with respect to the increase of oscillator number, indicating that the synchronous degree of the network becomes weaken with the increase of oscillator number. The results provide the theoretical basis for the application of noise and for the achievement of synchronization in the network.