It is conjectured that the dynamical spectra of substitutive words satisfying the Pisot condition are pure point. This conjecture has been studied mainly for words generated by a single substitution. In this talk, we extend the discussion to words generated by a family of substitutions, known as S-adic words. We will prove that words in a certain class of binary S-adic words satisfying the Pisot condition also have pure point spectra.