The EEG of 15 patients with schizophrenia were analysed by the method of nonlinear dynamics. In comparison with those of 20 normal subjects, the results showed that EEG of schizophrenia patients was in a unstable chaotic state from the point of view of nonlinear dynamics. It was discovered that the characteristics of EEG was different in various functional states and there was an inverted phenomenon in message transferring parameters of schizophreniaEEG. These features might be useful in EEG analysis and diagnosis for schizophrenia.