Nowadays, the belief is strong in the Brazilian federal government that operational central bank independence is a basic condition to assure price stability. The literature concerning this subject highlights that a high degree of independence and a low turnover of central bank governor are associated with low inflation. This paper analyzes the relation between central bank independence and inflation in Brazil during 1980-2002. The findings denote that there is no effect on inflation due to an increase in degree of independence and a fall in turnover rate.