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We consider a first approach to the notion of Armendariz ring for a skew Poincare-Birkho-Witt (PBW for short) extension, and its lassi al ring of quotients. As an immediate application of this treatment, we study the properties Baer, quasi-Baer, p.p. and p.q.-Baer rings for these extensions. In this way, we generalize several results in the literature concerning Ore extensions and skew PBW extensions. To ite this article: A. Reyes, H. Suarez, Armendariz property for skew PBW extensions and their classical ring of quotients, Rev. Integr. Temas Mat. 34 (2016), No. 2, 147-168.