In this paper, Band-limlted Gaussian Random Noise and PRBS(pseudo random hinary sequence) are used as a test signals to estimate the dynamic characteristics of the ocuiomotor system. Eye movements of the human subject are measured by E.O.G(electro-oculography) and the control characteristics of the oculomotor system are studied by random signal an-alysis based on the statistical communication theory. The conclusions are summerized as follows. (1) From the frequency response, the gain curve rises slightly at the regions of 0.7~0.9 Hz and 1.8~2 Hz due to the saccades which are occurred during usual tracking. (2) The average rate of information transfer by the oculomotor control system is 1.24 bits/sec, being calculated from the power spectral density and the cross spectral density for the Gaussian random input.