Brain-stem auditory evoked potentials (BAEPs) are realized after the first flat EEG in 50 patients. BAEPs were absent in 70% of the patients. In 22% of the patients, one- or two-sided peak I persists. In 8% the peaks I, II and IV exist after the first flat EEG. BAEP evolution with the course of time is realized. A complete disappearance is established after 24 h. The useful advantage of BAEPs in the early diagnosis of brain death is discussed.