This paper analyses the demographic dynamics of the Suyá, a Jê people, inhabitants of the Xingu Indigenous Park, Mato Grosso State, Brazil, during the years 1970-2004. Data was gathered from medical records of the São Paulo Federal University Health Program at the Xingu Indigenous Park. The demographic characteristics addressed include composition by age and sex, crude birth rates, general mortality rates, mortality rates by age and sex, proportional mortality by sex, age, and basic causes of death. The results show a population recovery process, with growth rates of 3% per year between 1970 and 2004. In addition to moderate birth rates and declining mortality rates, migration has also played an important role in the demographic dynamics. Mortality indicators show a decline in general and infant mortality rates, higher death rates among women, higher proportions of deaths among individuals < 1 and 50+ years of age, and major causes of death to be infectious diseases and cancer.