The electric activities of neurons serve as a foundation for normal brain functions. Electromagnetic radiation has a significant impact on neuronal activity in the brain, especially when cell phone is used extensively. To understand this mechanism, we developed a mathematical model aiming at describing the effect of electromagnetic radiation on neuronal firing activity by introducing an additional membrane current into the Hodgkin-Huxley neuron model. The results show that the neuronal firing activity of a single neuron can be suppressed by electromagnetic radiation. Besides, the spatiotemporal patterns of neuronal network are also suppressed from the stable propagating wave state to a homogeneous resting state. Our studies suggest that the electromagnetic radiation has a suppressive effect on neuronal firing activities, especially on the collective electric activities of neuronal network that is related to information processing.