In the past several decades Bayesian statistical technique has been used to the analysis of radiocarbon calibration for high accuracy of dating results. This technique is expected to improve the imprecise calendar ages when ¹⁴C data are individually calibrated in the plateaux and wiggles of ¹⁴C calibration curve. Many successful cases have showed that Bayesian analysis could obtain more reliable chronology by incorporating stratigraphic information with radiocarbon ages. The historical progress, principle and calculation method aspects of Bayesian analysis were reviewed here for application in radiocarbon dating, and some archaeological and geological examples, such as sequences with known order, known age gaps and approximate gaps extracted from tree ring, peat and related deposits, were used to show its ability and reliability to reduce the uncertainties in radiocarbon dating. Finally, the effect factor and future developments of Bayesian analysis on serial chronology were also introduced.