  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 Faddeev-Jackiw 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 Faddeev-Jackiw method and Dirac's formalism are briefly
discussed.
