This paper presents formally modelled date estimates,within a Bayesian chronological frame-work, for the sequence of deposits and material at the great Neolithic tell of Vinca-Belo Brdo near Belgrade, Serbia, on the basis of the first excavations, led by Miloje Vasic (1908-1934). This is part of a three-strand approach to dating the occupation and finds from the tell that is being undertaken as part of The Times of Their Lives project. A total of 85 radiocarbon measurements are now available from known depths through the Vasic sequence at Vinca. A Bayesian chronological model is constructed, using a poisson-process depositional model.