The symplectic analysis of a four dimensional BF theory in the context of the Faddeev-Jackiw symplectic approach is performed. It is shown that this method is more economical than Dirac's formalism. In particular, the complete set of Faddeev-Jackiw constraints and the generalized FaddeevJackiw brackets are reported. In addition, we show that the generalized Faddeev-Jackiw brackets and the Dirac ones coincide to each other. Finally, the similarities and advantages between FaddeevJackiw method and Dirac's formalism are briefly discussed.PACS numbers: 98.80.-k,98.80.Cq