Bell's inequalities in algebraic quantum field theory have been studied by Landau, Summers and Werner, and Halvorson and Clifton. Halvorson and Clifton showed that many normal states on local algebras associated with space-like separated bounded open regions violate Bell's inequalities under the the axioms of algebraic quantum field theory. In the present paper, I point out that many faithful normal states on local algebras associated with space-like separated bounded open regions violate Bell's inequalities under the axioms of algebraic quantum field theory.