A new and simple procedure to measure the angle gamma from B+/- --> pi (+/-
)pi (+)pi (-) and B+/- --> K(+/-)pi (+)pi (-) decays using SU(3) symmetry i
s presented. It is based on a full Dalitz plot analysis of these decays. Al
l diagrams, including strong and electroweak penguins, are considered in th
e procedure. The method is also free from final state interaction problems.
The theoretical error in the extraction of gamma within the method should
be of the order of 10(0) or even less. Taking into account the B-meson prod
uction in the first generation of B factories and recent measurements from
CLEO, this method could bring the best measurement of gamma in the next yea
rs.