To understand the human brain function, qualitative reasoning approach seems quite effective as the brain is so complicated dynamic system. In this paper, we proposed qualitative neuron model with which we described the neural substrate subserving saccadic eye movement. As a results, the simulation showed the burst discharges in the pontine reticular formation that should play an important role in controling the saccadic eye movement. Thus it was confirmed that our qualitative neuron model has high expression power to the phenomenon related to the saccadic eye movement.